Answer:
8
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
The subcommittee needs to contain 1 out of 3 freshmen, 1 out of 4 sophomores, 1 out of 5 juniors and 1 out of 2 seniors. Assuming order is not important, the number of possibilities to pick the subcommittee members is given by:

There are 120 possible subcommittees.
Answer:
<u>Consider the following identity:</u>
- a³ - b³ = (a + b)(a² - ab + b²)
<u>Let a = 2, b = 1/2</u>
- (2 + 1/2)(2² - 2*1/2 + 1/2²) =
- 2³ - (1/2)³ =
- 8 - 1/8