Question

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP ASAP 20 PTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Six teammates are competing for first, second, and third place in a race.

How many possibilities are there for the top three positions?
A)20
B)30
C)120
D)240

Answer 1

slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120


120 possiblites

answer is C

Answer 2

120 possibilities.

Explanation:

The number of teammates = 6

They are competing for the top three positions which are first, second and third.

Any of the 6 teammates can achieve the first position. Hence, three are total 6 possibilities for the first position.

Now, 1 teammate is already achieved the first position. Hence, there are 5 possibilities for the second position.

Similarly, 2 teammates is already achieved the first and second positions. Hence, there are 4 possibilities for the third position.

Therefore, there are 6×5×4 = 120 possibilities.