There are 12 players on a soccer team if 6 players are allow

There are 12 players on a soccer team, if 6 players are allowed on the field at a time, how many different groups of players can be on the field at time? Select one: 720 924 1048 847 Ten athletes are running the 100 yard dash, in how many different ways can they come an first, second, and third, assuming there are no ties? Select one: 27 72 700 720

Solution

1.

we need to choose 6 players out of 12, So

no. of ways = 12C6 = 12!/(6!*6!) = 924 WAYS

Correct option is B.

2.

Similarly no. of ways to choose 3 players = 10C3 = 10!/(3!*7!) = 120 ways

Arranging those players in 1st, 2nd and 3rd position = 3!*120 = 720 ways

Correct option is D.