SOLUTION: If a class has 34 students of which 12 are female and the rest are male. (a) We wish to form a committee of 6 people from the students. How many distinct committees can be formed?

Question 386927: If a class has 34 students of which 12 are female and the rest are male.
(a) We wish to form a committee of 6 people from the students. How many distinct committees can be formed?
b) If there is a restriction that the committee has to be 3 male and 3 female. Now how many distinct committees can we form?

Thank-you in advance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If a class has 34 students of which 12 are female and the rest are male.
(a) We wish to form a committee of 6 people from the students. How many distinct committees can be formed?
Ans: 34C6 = 1,344,904
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b) If there is a restriction that the committee has to be 3 male and 3 female. Now how many distinct committees can we form?
# of ways to pick 3 male: 22C3
# of ways to pick 3 female: 12C3
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# of ways to pick 3male and 3femaile = 22C3*12C3 = 338,800
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Cheers,
Stan H.

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