(b). A club consists of 6 freshmen, 5 sophomores, and 4 juniors. How many committees of four people not from one class

1344 committees can be formed of four people not from one class

Step-by-step explanation:

We are given:

Members in freshmen = 6

Members in sophomores = 6

Members in juniors = 6

To form a committee of four people not from one class, numerous combinations can occur. They are:

When 2 from freshmen, 1 from sophomores, and 1 from junior. The possibility becomes

When 1 from freshmen, 2 from sophomores, and 1 from junior. The possibility becomes

When 1 from freshmen, 1 from sophomores, and 2 from junior. The possibility becomes

Total combinations:

When 2 from freshmen, 2 from sophomores, and 0 from junior. The possibility becomes

When 0 from freshmen, 2 from sophomores, and 2 from junior. The possibility becomes

When 2 from freshmen, 0 from sophomores, and 2 from junior. The possibility becomes

Total combinations:

When 3 from freshmen, 1 from sophomores, and 0 from junior. The possibility becomes

When 3 from freshmen, 0 from sophomores, and 1 from junior. The possibility becomes

When 0 from freshmen, 3 from sophomores, and 1 from junior. The possibility becomes

When 1 from freshmen, 3 from sophomores, and 0 from junior. The possibility becomes

When 0 from freshmen, 1 from sophomores, and 3 from junior. The possibility becomes

When 1 from freshmen, 0 from sophomores, and 3 from junior. The possibility becomes

Total combinations:

Total number of committees that can be formed = [720 + 300 + 324] = 1344

Hence, 1344 committees can be formed of four people not from one class

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?

answer: 3.26019516

step-by-step explanation: