a bag contains 12 block, 5 are red, 4 are blue and the rest are green.  If 7 blocks are selecte randomly, determine the number of ways that at least 2 blocks of each color are included.

Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?

You must choose an elective for your fourth block class. You can choose from 3 different physical education  classes, 4 different computer classes or 2 different culinary classes. How many different possible selections could you make for his first period elective?

From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5 people of which at least 3 are men?

7Find the number of ways to distribute 24 different color markers into 3 identical bags, if each bag gets at least 7 markers.

The Maple Leafs are allowed to dress 20 players for each game.  If they dress 12 forwards, 6 defensemen and 2 goalies, how many possible starting line-ups of 3 forwards, 2 defensemen and 1 goalie are possible?

The 2015 Ford Mustang Fastback is available in 5 models (V6, GT, etc.) with 10 choices of color, 2 choices of transmission, and 6 types of leather interior. How many different variations of this car does Ms. Thompson have to choose from when she is buying a car?

There are 12 seniors and 8 juniors in the Mercy College Chess Club. In how many ways can a team consisting of 7 seniors and 3 juniors be selected from the Chess Club members?

The call letters for radio stations begin with K or W, followed by 3 additional letters. How many sets of call letters having 4 letters are possible?