In how many ways can a subcommittee of six be chosen from a senate committee of seven democrats and five republicans if (a) all members are eligible? ways (b) the subcommittee must consist of three republicans and three democrats?

The concept of Combination is a very tool to answering this problem. 

a. Since there is a total of 12 committee and only 6 should be chosen as subcommittees, this can also be stated as "combination of 12 taken 6" which is equal to 924.

b. Choosing 3 out of the 5 Republicans and 3 out of the 7 Democrats,
         (5C3)x(7C3) = 350.

A)26•2=52there are 2 sides with the same length116-52=64the other 2 side have to be half of 64 each64/2=32the width is 32b)make two sentences about these steps because your teacher knows how you write and explain things.