SOLUTION: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if
a) there are no restrictions?
b) there are exactly 5 me
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Question 176991: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if
a) there are no restrictions?
b) there are exactly 5 men on the committe?
c) at least one person must be a man?
d)there must be at least 3 women and at least 2 men?: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if
d)there must be at least 3 women and at least 2 men?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if
a) there are no restrictions?
Ans: 50C7
==============
b) there are exactly 5 men on the committee?
Ans: 25C5*25C2 =
=========================
c) at least one person must be a man?
Ans: 50C7- 25C0*25C7
-------------------------
d)there must be at least 3 women and at least 2 men?:
Ans: 25C3*25C4 + 25C4*25C3 + 25C5*25C2
=============================================
Cheers,
Stan H.
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