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Question

Find the number of ways of forming a five member group out of a $10$ persons such that $2$ persons are always included:

A

48

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B

56

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C

64

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D

none of these

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Solution

The correct option is A $56$
Number of ways of forming 5 member group when 2 people is always included
$=^{8} C_{3} = 56$

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