Question

In how many ways can a committee of five persons be formed out of 8 members when a particular member is taken every time?

(a) 35 

(b) 42 

(c) 50 

(d) 56

Answer 1

(a) 35

When a particular member is taken every time, then we need to choose the remaining 4 members from 7 members in ⁷C₄ ways. 

∴Required number of ways = ⁷C₄ = \(\frac{7!}{4!3!} = \frac{7\times6\times5}{3\times2}\) = 35.