Combinations

[rguduputi]

Combinations Problem:
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Team size = 8 (Includes CEO, CFO and 6 other executives)

Mandate/Condition – A Committee must not include both CEO and CFO. Meaning a Committee can have either CEO or CFO. Not both.

Question - How many possible 5 member committees are possible?


My approach:
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Total 5 member committees out of 8 Execs = total 5 member Committees including CEO and CFO -(minus) Invalid Committees those with CEO and CFO.

Total Committee = 56 ( 8 c5 = 8c3)

I am unable to calculate invalid committes.

Please hlep.

Thanks,
Ram





We need to subtract the invalid Committee that have both CEO and CFO. I am not able to figure this out. I need your help from this point onwards