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3208
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.
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3209
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.
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3210
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.)
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3211
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.]
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3212
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?
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3215
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 $1s?$
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3216
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 $1?$
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3217
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?
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3218
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?...
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