Question

Before the election, you want to determine the number of possible president/vice-president combinations for the sorority you belong to. if both positions are chosen from eight people, how many combinations are possible

Answer 1

The number of possible president/vice-president combinations for the sorority is 56.

Step-by-step explanation:

To determine the number of possible president/vice-president combinations for your sorority, you need to use the concept of combinations. Since both positions are chosen from a group of eight people, the total number of combinations can be calculated using the formula for combinations: C(n, r) = n! / (r!(n-r)!).

In this case, n = 8 (the total number of people) and r = 2 (the number of positions to be filled).

Therefore, the number of possible combinations is:
C(8, 2) = 8! / (2!(8-2)!) = 8! / (2!6!) = (8 * 7 * 6!) / (2!6!) = 8 * 7 = 56.

Answer 2

Solution: We have to choose two positions president and vice president from eight people. So, we need to use the Permutations formula in order to find the possible number of combinations.

The number of possible combinations is:

8P2
`=(8!)/((8-2)!)`

`=(8*7*6*5*4*3*2*1)/(6*5*4*3*2*1)`

`=(40320)/(720)`

`=56`

Therefore the possible number of combination to select two positions from 8 people is 56