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

120 possibilities.

Step-by-step 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.

60: 45 =12: 9 =4: 3 so the answer is 4: 3