Acommittee of 8 people randomly chooses 3 people in order to be president, vice president, and treasurer. in how many ways can the officers be chosen? a. 363 c. 336 b. 412 d. 396

Total 336 ways can the officers be chosen.

C is correct.

Step-by-step explanation:

A committee of 8 people randomly chooses 3 people in order to be president, vice president, and treasurer.

We have total 8 people to choose for three place.

For 1st place: Total possibility 8

For 2nd place:  Total possibility 7 ( because 1 person fix for first place and person can't take two position)

For 3rd place: Total possibility 6 ( because 2 person fix for 1st and 2nd place)

Total number of ways = Product of all three number

Total number of ways to choose committee member = 8 x 7 x 6 = 336

Using permutation we need to choose 3 person out of 8

Thus,

Hence, Total 336 ways can the officers be chosen.