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Unitary Method

In how many w...

Question

In how many ways can a president, a manager and a secretary be chosen from among $8$ candidates?

A

343

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B

336

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C

8!

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D

3!

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Solution

The correct option is B $336$
The problem involves $8$ candidates taken $3$ at a time.

$∴$ Required number of ways
$= P (8, 3) = \frac{8!}{(8 - 3)!} = \frac{8 \times 7 \times 6 \times 5!}{5!} = 8 \times 7 \times 6 = 336$

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