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 :

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

AL2006

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