The general manager of a fast food restaurant chain must select 6 restaurants from 11 for a promotional program. How many different possible ways can this selection be done?

Question

Mathematics

Dayton Mcbride

15 April, 10:50

The general manager of a fast food restaurant chain must select 6 restaurants from 11 for a promotional program. How many different possible ways can this selection be done?

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Answers (2)

Know the Answer?

Smiley · Answer 1

462

Step-by-step explanation:

There 6 slots available to fill in the restaurants options

- For the 1st slot, there are 11 ways to choose

- For the 2nd slot, there are 10 ways to choose

- For the 3rd slot, there are 9

- For the 4th slot, there are 8

- For the 5th slot, there are 7

- For the last 6th, there are 6 ways

So in total there would be 11*10*9*8*7*6 = 332640 ways to choose. But since the order of these 6 slots don't matter, there are actually 6! = 720 ways to order these 6 slots. So the actual number of possible ways is

332640 / 720 = 462

Liana · Answer 2

Step-by-step explanation:

This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.

11C6

11! / (11-6) !*6!

= 462

Therefore the manager can select the restaurant in 462 ways.