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Recent questions tagged combinatory

1 votes
1 answer
841
In a multiple-choice test there are 6 questions.
In a multiple-choice test there are 6 questions. 4 alternatives answers are given for each question by choosing one answer for each question, then the number of ways to get exactly 4 correct answers is (A) ; (B) 135; (C) 9; (D) 120.
In a multiple-choice test there are 6 questions. 4 alternatives answers are given for each question by choosing one answer for each question, then the number of ways to g...
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1 votes
1 answer
842
There are 7 identical white balls and 3 identical black balls.
There are 7 identical white balls and 3 identical black balls. The number of distinguishable arrangements in a row of all the balls, so that no two black balls are adjacent, is (A) 120; (B) 89(8!); (C) 56; (D) 42x.
There are 7 identical white balls and 3 identical black balls. The number of distinguishable arrangements in a row of all the balls, so that no two black balls are adjace...
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1 votes
0 answers
843
In an examination, the score in each of the four languages
In an examination, the score in each of the four languages – Bengali, Hindi, Urdu and Telegu- can be integers between 0 and 10. Then the number of ways in which a student can secure a total score of 21 is (A) 880; (B) 760; (C) 450; (D) 1360.
In an examination, the score in each of the four languages – Bengali, Hindi, Urdu and Telegu- can be integers between 0 and 10. Then the number of ways in which a stude...
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0 votes
1 answer
844
The number of ways in which three non-negative integers
The number of ways in which three non-negative integers can be chosen such that is
The number of ways in which three non-negative integers can be chosen such that is
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2 votes
2 answers
845
Generating function
The coefficient of in the expansion of is
The coefficient of in the expansion of is
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58 votes
9 answers
849
GATE CSE 2017 Set 2 | Question: 47
If the ordinary generating function of a sequence $\left \{a_n\right \}_{n=0}^\infty$ is $\large \frac{1+z}{(1-z)^3}$, then $a_3-a_0$ is equal to ___________ .
If the ordinary generating function of a sequence $\left \{a_n\right \}_{n=0}^\infty$ is $\large \frac{1+z}{(1-z)^3}$, then $a_3-a_0$ is equal to ___________ .
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0 votes
2 answers
850
#first course in probability #sheldon_ross
In how many ways can 3 boys and 3 girls can sit together such that ONLY boys should together?
In how many ways can 3 boys and 3 girls can sit together such that ONLY boys should together?
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3 votes
2 answers
852
gatebook
How many ways are there for arranging letters of the word AMAZING such that the 'I' appears between the two 'A's? (A) 5! ways (B) 7! ways (C) 8! ways (D) 4! ways Note: AMZIA is valid and AIA is also valid right?
How many ways are there for arranging letters of the word AMAZING such that the 'I' appears between the two 'A's?(A) 5! ways(B) 7! ways(C) 8! ways(D) 4! waysNote: AMZIA i...
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1 votes
2 answers
854
Combinations
How many number of 5 letter words that use letters from the 3 letter set {a,b,c} in which each letter occur atleast once?
How many number of 5 letter words that use letters from the 3 letter set {a,b,c} in which each letter occur atleast once?
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9 votes
1 answer
856
P&C examples : finding no of ways
The number of ways can 10 balls be chosen from an urn containing 10 identical green balls , 5 identical yellow balls and 3 identical blue balls are_______ .
The number of ways can 10 balls be chosen from an urn containing 10 identical green balls , 5 identical yellow balls and 3 identical blue balls are_______ .
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1 votes
0 answers
857
set theory
Let S = {1, 2,......,10 }. The number of unordered pairs A, B where A and B are disjoint non-empty subsets of S is _________ (counting unordered pairs simply means we don’t distinguish the pair A,B and B,A)
Let S = {1, 2,......,10 }.The number of unordered pairs A, B where A and B are disjoint non-empty subsets of S is _________ (counting unordered pairs simply means we don&...
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3 votes
1 answer
858
permutation and combination
How may binary sequence of length 10 with 4 zeroes such that 2 zeroes are never together?
How may binary sequence of length 10 with 4 zeroes such that 2 zeroes are never together?
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1 votes
1 answer
860
Permutation and Combinations
The number of ways to choose n things from 2n things of which n are alike and rest are unlike?
The number of ways to choose n things from 2n things of which n are alike and rest are unlike?
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4 votes
2 answers
867
Generating Function
Find the coefficient of $x^{83}$ in $(x^5+ x^8+ x^{11}+ x^{14}+ x^{17})^{10} ?$
Find the coefficient of $x^{83}$ in $(x^5+ x^8+ x^{11}+ x^{14}+ x^{17})^{10} ?$
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5 votes
1 answer
869
Number of Boolean function possible
Number of boolean function with 3 boolean variable such that the function contain exactly 2 or 7 min term in their canonical SOP? Please explain the logic!
Number of boolean function with 3 boolean variable such that the function contain exactly 2 or 7 min term in their canonical SOP?Please explain the logic!
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32 votes
5 answers
870
min heap
The number of binary min. heaps that can be formed from a set of 7 distinct integers is _________?
The number of binary min. heaps that can be formed from a set of 7 distinct integers is _________?
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