Permutations and Combinations Questions

MathematicsPermutations and Combinations57 Questions Found

MathematicsCombinations and SelectionJEE Main 2011Easy

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Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is $^{9} C_{3}$ . Statement-2: The number of ways of choosing any 3 places from 9 different places is $^{9} C_{3}$ .

(A)

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

(B)

Statement-1 is true, Statement-2 is false.

(C)

Statement-1 is false, Statement-2 is true.

(D)

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

Answer:D

MathematicsCombinations and SelectionJEE Main 2012Easy

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Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is :

(A)

880

(B)

629

(C)

630

(D)

879

Answer:D

MathematicsCombinations and SelectionJEE Main 2012Easy

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These are 10 points in a plane, out of these 6 are collinear, if $N$ is the number of triangles formed by joining these points. then:

(A)

n \le 100

(B)

100 < n \le 140

(C)

140 < n \le 190

(D)

n > 190

Answer:A

MathematicsFundamental Principle of CountingJEE Main 2012Easy

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Let $X = {1, 2, 3, 4, 5}$ . The number of different ordered pairs (Y,Z) that can formed such that $Y \subseteq X, Z \subseteq X$ and $Y \cap Z$ is empty is:

(A)

5²

(B)

3⁵

(C)

2⁵

(D)

5³

Answer:B

MathematicsCombinations and SelectionJEE Main 2013Easy

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Let $T_{n}$ be the number of all possible triangles formed by joining vertices of an $n$ -sided regular polygon. If $T_{n + 1} - T_{n} = 10$ , then the value of $n$ is :

(A)

(B)

(C)

(D)

Answer:B

MathematicsFundamental Principle of CountingJEE Main 2015Easy

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The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is :

(A)

120

(B)

(C)

216

(D)

192

Answer:D

MathematicsLinear PermutationsJEE Main 2016Easy

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If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :

(A)

52^{nd}

(B)

58^{th}

(C)

46^{th}

(D)

59^{th}

Answer:B

...5

Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is :

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } These are 10 points in a plane, out of these 6 are collinear, if N is the number of triangles formed by joining these points. then:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Let X={1,2,3,4,5}. The number of different ordered pairs (Y,Z) that can formed such that Y⊆X,Z⊆X and Y∩Z is empty is:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Let Tn​ be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1​−Tn​=10, then the value of n is :

The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is :

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :

Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is :

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } These are 10 points in a plane, out of these 6 are collinear, if N is the number of triangles formed by joining these points. then:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Let X={1,2,3,4,5}. The number of different ordered pairs (Y,Z) that can formed such that Y⊆X,Z⊆X and Y∩Z is empty is:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Let Tn​ be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1​−Tn​=10, then the value of n is :

The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is :

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :

These are 10 points in a plane, out of these 6 are collinear, if $N$ is the number of triangles formed by joining these points. then:

Let $X = {1, 2, 3, 4, 5}$ . The number of different ordered pairs (Y,Z) that can formed such that $Y \subseteq X, Z \subseteq X$ and $Y \cap Z$ is empty is:

Let $T_{n}$ be the number of all possible triangles formed by joining vertices of an $n$ -sided regular polygon. If $T_{n + 1} - T_{n} = 10$ , then the value of $n$ is :

These are 10 points in a plane, out of these 6 are collinear, if $N$ is the number of triangles formed by joining these points. then:

Let $X = {1, 2, 3, 4, 5}$ . The number of different ordered pairs (Y,Z) that can formed such that $Y \subseteq X, Z \subseteq X$ and $Y \cap Z$ is empty is:

Let $T_{n}$ be the number of all possible triangles formed by joining vertices of an $n$ -sided regular polygon. If $T_{n + 1} - T_{n} = 10$ , then the value of $n$ is :