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

126

None of these

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The correct Answer is:

`.^(9)C_(5)-.^(9-2)C_(5-2)=.^(9)C_(4)-.^(7)C_(3)`
`=126-35=91`

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