FCP, Permutations, Combinations

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

How many ways can you listen to 3 songs from a CD that has 12 songs, if you do not listen to the same song more than once?

• 1320

• 33

• 36

How many ways can you choose a manager and assistant manager from a 9-person work team?

• 81

• 18

• 72

How many identification codes are possible by using 3 letters if no letter may be repeated?

• 15,600

• 75,350

• 17,125

Student council has 24 members. In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?

• 5,100,480

• 242,880

• 42,504

• 5,170,225

Permutation or combination?

There are 45 applicants for three identical Computer Programmer job positions.

• combination

• permutation

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes 9 players?

• 165,330

• 362,880

• 5,148,100

• 1,814,400

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

• 120

• 6

• 18

• 20

At summer camp, the campers pick two activities for the first day of camp.  They can choose from among hiking, canoeing, rock climbing, and bird watching.  How many different combinations of activities are there?

• 6
• 12
• 2
• 8

Your social studies class is drawing maps of the 7 continents to display in the school lobby. The main wall in the lobby has room for 3 maps. How many displays of maps are possible for that location?

• 5,040

• 35

• 210

• 6