SOLUTION: Twelve people show up to help out at a concession stand. Two people are needed to remain with the cash box, four people are needed to make the food, and the rest would work with t

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Question 1011155: Twelve people show up to help out at a concession stand. Two people are needed to remain with the cash box, four people are needed to make the food, and the rest would work with the customers. In how many different ways can these jobs be assigned?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You can start picking in any order, and the result should be the same.
In how many ways can you pick a set of 2 cashiers from your set of 12 volunteers?
12%2A11%2F%281%2A2%29=6%2A11=66 .
After you decided who would be your 2 cashiers,
there are 12-2=10 volunteers left to choose from.
In how many ways can you pick a set of 4 food-preparers from your set of 10 available volunteers?
10%2A9%2A8%2A7%2F%281%2A2%2A3%2A4%29=10%2A9%2A7%2F3=10%2A3%2A7=210 .
For each of the 66 possible cashiers sets choices,
you have 210 possible choices for the set of food-preparers,
for a total of 66%2A210=highlight%2813860%29 assignment choices.