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A lady gives a dinner party to 5 guests ...

A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together, is

A

56

B

126

C

91

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`.^(9)C_(5)-.^(9-2)C_(5-2)=.^(9)C_(4)-.^(7)C_(3)`
`=126-35=91`
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