1. A bank contains 6 quarters, 4 nickels, and 3 pennies. If I select 3 coins without looking, how many chances are there that I will select 1 of each coin?

2. I have 6 rock, 5 classical, and 4 jazz CDs. If I select 6 CDs, how many chances are there that I will select 2 of each genre?

3. How many chances are there that a team will consist of 4 females and 3 males if 7 students are chosen to represent the chess club from 10 females and 14 males.

72131416 CCC

900242526 CCC

440,76314410 CC

Suppose I have a hat that contains the following gift cards from 22 DIFFERENT restaurants: 2-$50 , 5-$25, and 15-$10. If I were going to draw the gift cards out of the hat as a giveaway at the next staff meeting, with each card given away as it is drawn. In how many ways can I would draw two $25 cards, followed by three $10 cards?

Think about this…• Does the order in which I select the cards matter?

yesSince order matters… this problem is a permutation problem.

600,5431525 PP$25 $10

In how many ways can I draw one $25 card, four $10 cards, and finally one $50 card?

600,3271241515 PPP$25 $10 $50

1. A bank contains 6 quarters, 4 nickels, and 3 pennies. If I select 4 coins without looking, how many chances are there that I will select two quarters, a nickel, and a penny?

2. I have 6 rock, 5 classical, and 4 jazz CDs. If I select 6 CDs, how many chances are there that I will select 3 rock, 2 jazz, and one classical?

3. How many possible options are there for choosing a club board of directors that consists of a teacher representative, a president, a vice-president, and a treasurer to be selected from a club with 15 student members and 3 staff members?