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# 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? - CBSE (Arts) Class 11 - Mathematics

ConceptConcept of Permutations

#### 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?

#### Solution

From a committee of 8 persons, a chairman and a vice chairman are to be chosen in such a way that one person cannot hold more than one position.

Here, the number of ways of choosing a chairman and a vice chairman is the permutation of 8 different objects taken 2 at a time.

Thus, required number of ways  =

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 7: Permutations and Combinations
Q: 5 | Page no. 148

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Solution 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? Concept: Concept of Permutations.
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