CA Foundation P3 · Chapter 5 · Question 2 of 9
In how many ways can a committee of 3 be chosen from 8 persons?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 56
Explanation
Order does not matter in a committee, so we use combinations: ⁸C₃ = 8 x 7 x 6 / (3 x 2 x 1) = 56. ⁸P₃ = 336 counts ordered selections, which is the usual error.
More Basic Concepts of Permutations and Combinations MCQs
- Q4In how many ways can 7 persons be seated around a circular table?
- Q5How many 4-digit even numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if no digit is repeated?
- Q6If ⁿP₂ = 90, then n is:
- Q7The number of diagonals of a polygon with 12 sides is:
- Q8In how many ways can the letters of the word ARTICLE be arranged so that the vowels occupy only the even positions?