A baseball team has 2 first basemen, 3 second basemen, and 2 third basemen. How many combinations of the three positions are possible?
a.
10
c.
12
b.
15
d.
8

Question

A baseball team has 2 first basemen, 3 second basemen, and 2 third basemen. How many combinations of the three positions are possible?
a.
10
c.
12
b.
15
d.
8

campbell_st · Answer

fundemental theorem of counting says to multiply the choices at each stage... 

stage 1:   1st basemen      2
                                         x
stage 2:   2nd basemen     3
                                          x
stage 3    3 basemen         2
                                      -----
                    Choices 

hope it helps