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Most answered questions in Engineering Mathematics
0
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1
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3221
Kenneth Rosen Edition 7 Exercise 6.4 Question 10 (Page No. 421)
Give a formula for the coefficient of $x^{k}$ in the expansion of $\left(x + \frac{1}{x}\right)^{100},$ where $k$ is an integer.
Give a formula for the coefficient of $x^{k}$ in the expansion of $\left(x + \frac{1}{x}\right)^{100},$ where $k$ is an integer.
admin
2.1k
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
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0
votes
1
answer
3222
Kenneth Rosen Edition 7 Exercise 6.4 Question 9 (Page No. 421)
What is the coefficient of $x^{101}y^{99}$ in the expansion of $(2x − 3y)^{200}?$
What is the coefficient of $x^{101}y^{99}$ in the expansion of $(2x − 3y)^{200}?$
admin
462
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
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0
votes
1
answer
3223
Kenneth Rosen Edition 7 Exercise 6.4 Question 8 (Page No. 421)
What is the coefficient of $x^{8}y^{9}$ in the expansion of $(3x + 2y)^{17}?$
What is the coefficient of $x^{8}y^{9}$ in the expansion of $(3x + 2y)^{17}?$
admin
306
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
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0
votes
1
answer
3224
Kenneth Rosen Edition 7 Exercise 6.4 Question 7 (Page No. 421)
What is the coefficient of $x^{9}\:\text{in}\: (2 − x)^{19}?$
What is the coefficient of $x^{9}\:\text{in}\: (2 − x)^{19}?$
admin
327
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
0
votes
1
answer
3225
Kenneth Rosen Edition 7 Exercise 6.4 Question 6 (Page No. 421)
What is the coefficient of $x^{7}\:\text{in}\: (1 + x)^{11}?$
What is the coefficient of $x^{7}\:\text{in}\: (1 + x)^{11}?$
admin
351
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
0
votes
1
answer
3226
Kenneth Rosen Edition 7 Exercise 6.4 Question 5 (Page No. 421)
How many terms are there in the expansion of $(x + y)^{100}$ after like terms are collected?
How many terms are there in the expansion of $(x + y)^{100}$ after like terms are collected?
admin
415
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
1
votes
1
answer
3227
Kenneth Rosen Edition 7 Exercise 6.4 Question 4 (Page No. 421)
Find the coefficient of $x^{5}y^{8}\:\text{in}\: (x + y)^{13}.$
Find the coefficient of $x^{5}y^{8}\:\text{in}\: (x + y)^{13}.$
admin
679
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
0
votes
1
answer
3228
Kenneth Rosen Edition 7 Exercise 6.4 Question 3 (Page No. 421)
Find the expansion of $(x + y)^{6}.$
Find the expansion of $(x + y)^{6}.$
admin
334
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
0
votes
1
answer
3229
Kenneth Rosen Edition 7 Exercise 6.4 Question 2 (Page No. 421)
Find the expansion of $(x + y)^{5}$ using combinatorial reasoning, as in Example $1.$ using the binomial theorem.
Find the expansion of $(x + y)^{5}$using combinatorial reasoning, as in Example $1.$using the binomial theorem.
admin
1.3k
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
0
votes
1
answer
3230
Kenneth Rosen Edition 7 Exercise 6.4 Question 1 (Page No. 421)
Find the expansion of $(x + y)^{4}$ using combinatorial reasoning, as in Example $1.$ using the binomial theorem.
Find the expansion of $(x + y)^{4}$using combinatorial reasoning, as in Example $1.$ using the binomial theorem.
admin
1.5k
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
binomial-theorem
descriptive
+
–
0
votes
1
answer
3231
Kenneth Rosen Edition 7 Exercise 6.3 Question 44 (Page No. 415)
How many ways are there for a horse race with four horses to finish if ties are possible? [Note: Any number of the four horses may tie.)
How many ways are there for a horse race with four horses to finish if ties are possible? [Note: Any number of the four horses may tie.)
admin
348
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
0
votes
1
answer
3232
Kenneth Rosen Edition 7 Exercise 6.3 Question 43 (Page No. 415)
How many ways are there for a horse race with three horses to finish if ties are possible? [Note: Two or three horses may tie.]
How many ways are there for a horse race with three horses to finish if ties are possible? [Note: Two or three horses may tie.]
admin
385
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
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0
votes
1
answer
3233
Kenneth Rosen Edition 7 Exercise 6.3 Question 39 (Page No. 415)
How many license plates consisting of three letters followed by three digits contain no letter or digit twice?
How many license plates consisting of three letters followed by three digits contain no letter or digit twice?
admin
334
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
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0
votes
1
answer
3234
Kenneth Rosen Edition 7 Exercise 6.3 Question 38 (Page No. 414)
How many ways are there to select $12$ countries in the United Nations to serve on a council if $3$ are selected from a block of $45, 4$ are selected from a block of $57,$ and the others are selected from the remaining $69$ countries?
How many ways are there to select $12$ countries in the United Nations to serve on a council if $3$ are selected from a block of $45, 4$ are selected from a block of $57,...
admin
769
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
0
votes
1
answer
3235
Kenneth Rosen Edition 7 Exercise 6.3 Question 37 (Page No. 414)
How many bit strings of length $10$ contain at least three $1s$ and at least three $0s?$
How many bit strings of length $10$ contain at least three $1s$ and at least three $0s?$
admin
632
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
1
votes
1
answer
3236
Kenneth Rosen Edition 7 Exercise 6.3 Question 36 (Page No. 414)
How many bit strings contain exactly five $0s$ and $14\:\: 1s$ if every $0$ must be immediately followed by two $1s?$
How many bit strings contain exactly five $0s$ and $14\:\: 1s$ if every $0$ must be immediately followed by two $1s?$
admin
429
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
0
votes
1
answer
3237
Kenneth Rosen Edition 7 Exercise 6.3 Question 35 (Page No. 414)
How many bit strings contain exactly eight $0s$ and $10\:\: 1s$ if every $0$ must be immediately followed by a $1?$
How many bit strings contain exactly eight $0s$ and $10\:\: 1s$ if every $0$ must be immediately followed by a $1?$
admin
415
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
0
votes
1
answer
3238
Kenneth Rosen Edition 7 Exercise 6.3 Question 34 (Page No. 414)
Suppose that a department contains $10$ men and $15$ women. How many ways are there to form a committee with six members if it must have more women than men?
Suppose that a department contains $10$ men and $15$ women. How many ways are there to form a committee with six members if it must have more women than men?
admin
2.3k
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
0
votes
1
answer
3239
Kenneth Rosen Edition 7 Exercise 6.3 Question 33 (Page No. 414)
Suppose that a department contains $10$ men and $15$ women. How many ways are there to form a committee with six members if it must have the same number of men and women?
Suppose that a department contains $10$ men and $15$ women. How many ways are there to form a committee with six members if it must have the same number of men and women?...
admin
690
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
–
0
votes
1
answer
3240
Kenneth Rosen Edition 7 Exercise 6.3 Question 32 (Page No. 414)
How many strings of six lowercase letters from the English alphabet contain the letter $a?$ the letters $a\:\text{and}\: b?$ the letters $a\: \text{and}\: b$ in consecutive positions with $a\:\text{preceding}\: b,$ with all the ... $a$ is somewhere to the left of $b$ in the string, with all the letters distinct?
How many strings of six lowercase letters from the English alphabet containthe letter $a?$ the letters $a\:\text{and}\: b?$ the letters $a\: \text{and}\: b$ in consecutiv...
admin
858
views
admin
asked
Apr 29, 2020
Combinatory
kenneth-rosen
discrete-mathematics
counting
combinatory
descriptive
+
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