Permutation and Combination Questions and Answers

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Q31
How many ways can the letters of "DELHI" be arranged?
  • A A) 60
  • B B) 120
  • C C) 240
  • D D) 480
Answer: Option B
Explanation: 5! = 120.
Q32
The number of ways to choose 3 students from 8 is—
  • A A) 36
  • B B) 48
  • C C) 56
  • D D) 60
Answer: Option C
Explanation: 8C3 = 56.
Q33
How many 4-digit even numbers can be made using 1, 2, 3, 4 without repetition?
  • A A) 6
  • B B) 8
  • C C) 12
  • D D) 24
Answer: Option C
Explanation: Last digit even (2 or 4). Total = 12.
Q34
If 5! = 120, what is 6!?
  • A A) 720
  • B B) 600
  • C C) 480
  • D D) 240
Answer: Option A
Explanation: 6! = 6 × 120 = 720.
Q35
How many different signals can be made using 4 flags of different colors?
  • A A) 4
  • B B) 12
  • C C) 24
  • D D) 16
Answer: Option C
Explanation: 4! = 24.
Q36
The number of ways of choosing 2 subjects from 5 is—
  • A A) 5
  • B B) 10
  • C C) 15
  • D D) 20
Answer: Option B
Explanation: 5C2 = 10.
Q37
The number of permutations of the letters of "MISS" is—
  • A A) 12
  • B B) 24
  • C C) 48
  • D D) 60
Answer: Option A
Explanation: 4! / (2! × 1! × 1!) = 12.
Q38
How many ways can 3 boys and 3 girls sit alternately?
  • A A) 36
  • B B) 72
  • C C) 144
  • D D) 720
Answer: Option A
Explanation: Boys: 3! × Girls: 3! = 6 × 6 = 36.
Q39
How many ways can 5 questions be selected out of 10?
  • A A) 200
  • B B) 210
  • C C) 252
  • D D) 120
Answer: Option C
Explanation: 10C5 = 252.
Q40
From 7 vowels, 3 are to be selected. How many ways?
  • A A) 21
  • B B) 35
  • C C) 42
  • D D) 49
Answer: Option B
Explanation: 7C3 = 35.

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