A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?
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A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an
Answer:
Answer:
303600
Step-by-step explanation:
There are:
30 seniors, 38 juniors, 24 sophomores, and 18 freshmen
The president must be a senior.
Number of ways = 30
The assistant must not be a freshman.
Number of ways = 30 + 38 + 24 = 92
The accountant can be anyone.
Number of ways = sum of all = 110
Number of ways to pick officers:
30*92*110 = 303600