Question

Andy, Brenda, and Carla are running in a race. In how many different ways can the students finish in first, second, and third place?

A) 2 ways
B) 3 ways
C) 4 ways
D) 6 ways
HELP ME PLS!!!

Answer 1

D. 6 ways
1. Andy, Brenda, Carla
2. Andy, Carla, Brenda
3. Brenda, Carla, Andy
4. Brenda, Andy, Carla
5. Carla, Andy, Brenda
6. Carla, Brenda, Andy

Answer 2

First place can be any one of the 3 competitors. For each of those . . .
Second place can be either one of the 2 remaining. For each of those . . .
Third place is the 1 remaining runner.

Total number of possibilities = (3 x 2 x 1) = 6 .

Here are all the possible ways they can finish:

1). A B C
2). A C B
3). B A C
4). B C A
5). C A B
6). C B A