Permutation and Combination Questions and Answers
Practice ModeShowing 10 of 64 questions
Q11
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Answer: Option A
Q12
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Answer: Option C
Q13
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Answer: Option C
Q14
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Answer: Option B
Q15
In how many ways can the letters of the word "CAT" be arranged?
Answer: Option D
Explanation: Total letters = 3 → 3! = 6.
Q16
How many 3-digit numbers can be formed from digits 1, 2, 3, 4 if repetition is not allowed?
Answer: Option B
Explanation: 4P3 = 4 × 3 × 2 = 24.
Q17
How many ways can you arrange the letters of the word "BOOK"?
Answer: Option A
Explanation: Total = 4! / 2! (for two O's) = 12.
Q18
In how many ways can 5 people sit in a row?
Answer: Option C
Explanation: 5! = 120.
Q19
The number of permutations of n different things taken all at a time is—
Answer: Option B
Explanation: Formula for permutations.
Q20
How many ways can 4 different books be arranged on a shelf?
Answer: Option B
Explanation: 4! = 24.