Quantitative Aptitude

Quantitative Aptitude - Permutation and Combination Questions with Answers develop skills to arrange and select objects efficiently. Permutation & Combination Aptitude is widely used in SSC, banking, and competitive exams.

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Q61

How many ways can 3 identical pens be distributed among 5 persons?

A A) 10
B B) 15
C C) 20
D D) 25

Answer: Option B

Explanation: (n + r - 1)C(r) = (5 + 3 - 1)C(3) = 7C3 = 35.

Q62

The number of diagonals in a polygon of 10 sides is—

A A) 35
B B) 40
C C) 45
D D) 50

Answer: Option A

Explanation: nC2 – n = 45 - 10 = 35.

Q63

How many ways can 12 students be divided into two groups of 6 each?

A A) 924
B B) 462
C C) 1848
D D) 1008

Answer: Option B

Explanation: 12C6 / 2 = 924 / 2 = 462.

Q64

In how many ways can 3 boys be seated in 3 chairs if one boy always sits in the middle?

A A) 2
B B) 4
C C) 6
D D) 12

Answer: Option A

Explanation: Fix one, arrange 2 others → 2! = 2.

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Permutation and Combination Questions and Answers

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Quantitative Aptitude

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