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NDA 2021

Exam: NDA
Year: 2021
Subject: Mathematics
Chapter: Permutation and Combination

NDA 2021 · Mathematics · Permutation and Combination

In how many ways can a team of 5 players be selected from 8 players...

In how many ways can a team of 5 players be selected from 8 players so as not to include a particular player?

Options

A $42$
B $35$
C $21$
D $20$

Correct answer

C. $21$

Step-by-step solution

Total number of players (excluding one particular player)

=8-1=7

.

\therefore

Required number of ways of selection

={ }^7 C_5=21

.

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