SOLUTION: the general manager of a fast food restaurant chain must select 6 resturants from 11 for a promotional program. How many different possible ways can this selction be done?

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Question 372699: the general manager of a fast food restaurant chain must select 6 resturants from 11 for a promotional program. How many different possible ways can this selction be done?

Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Since order of the restaurants does not appear to matter,

we are looking at a Combination of 11 things takes 6 at a time, or 11C6

11C6=11%21%2F%286%21%2A5%21%29%29

11C6=%2811%2A10%2A9%2A8%2A7%29%2F%285%2A4%2A3%2A2%2A1%29

11C6=55440%2F120

11C6=462

Thus, there are 462 different ways the manager can choose 6 restaurants at a time out of 11.

I hope this helps!