A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievances. Complete parts (a) through (c) below. (a) How many delegations are possible? There are 286 delegations possible. (b) If it is decided that two particular workers must be in the delegation, how many different delegations are possible? There are 11 delegations possible. (c) If there are 4 machinists in the group, how many delegations would include at least 1 machinist? There are delegations possible.

A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?

Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. (a) In how many ways can she arrange all 6 tables? Show your work.(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables shewishes to have set up? Show your work. Answer:

10. Doug's job pays $8.80 per hour and Joanne's salary is Doug's salary per 3 4 hour. They need to raise at least $1,500 to repair their car. How many hours must each of them work if they agree to each work the same number of hours? (C) 99 (A) 97 (D) 100 (B) 98 (E) 101

A legislative committee consists of 4 Democrats and 9 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican,