Tutor-USA.com Worksheet
Combinations

Find the value:

1) C(7, 4)

3) C(21,19)

4) In how many ways may a committee of 4 be chosen from a group of 25?

5) From a group of 25 Democrats and 18 Republicans, how many committees consisting of 3 Democrats and 2 Republicans are possible if one of two specific Democrats is to be chairman?

6) On a baseball squad, there are 3 catchers, 5 pitchers, seven infielders and 7 outfielders. How many baseball mines can be formed?

8) In how many ways can a person get a bridge hand consisting of 2 aces, 1 king, 1 queen, 3 jacks, and the six other cards 10 or less?

11) How many tetrahedrons are determined by 9 points no four of which lie on the same plane?

13) Solve for n in the equation C(n + 2,4) = 6C(n,2)