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

Solution:

Given, a committee of 8 persons:
No. of ways of choosing a chairman = 8
Since one person can not hold more than one position,
No. of ways of choosing a vice-chairman = 7

Using the fundamental principle of counting,
Total possible number of ways = 8×7 = 56

NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.3 Question 5

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

Summary:

Total possible number of ways that we choose a chairman and a vice-chairman assuming one person can not hold more than one position is 56.