Algebra II Combinations Group Problems
NAMES:__________________
1. How many different 7 card hands of poker can you be dealt?
2. How many ways can a three person committee be picked out of 14 people?
3. There are 14 blue marbles and 3 white marbles on the table.
a) How many ways can you pick ANY 4 marbles?
b) How many ways can you pick 5 blue marbles off the table?
c) How many ways to choose 4 blue marbles AND 2 white marbles.
4. There are 24 people applying for 6 positions in a company which are the same. 10 of the
applicants are women and 14 are men.
NOTE: ALL SIX POSITIONS MUST ALWAYS BE FILLED. “AND” = Multiplication.
a) How many ways can 6 positions be filled?
b)
How many ways can 4 of the positions be given to men?
(don’t forget about the other two positions)
c) How many ways can zero of the positions be given to men?
d) How many ways can 3 of the positions be given to women?
e) How many ways can AT LEAST 3 positions be given to women? That is 3, 4, 5, 6.