# 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.

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