Question

From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?

Answer 1

Given : Number of persons in committee = 8 

To find : Two positions (chairman, vice chairman)

Since one person cannot hold more than one position, therefore chairman post can be filled in ⁸P₁ ways and vice chairman post can be filled in ⁷P₁ ways. 

∴ Required number of ways of choices  = ⁸P₁ x ⁷P₁ 

= 8 x 7 = 56