There are 12 employees at the sub shop. How many ways can the manager choose 4 for the Sunday evening shift? Permutation or combination and the answer?

It is a combination answer

495 ways

Step-by-step explanation:

In this question, we are tasked with calculating the number of ways in which a manager can select 4 people out of 12 for the Sunday evening shift.

Firstly, the question talks about selecting a particular number from a mix, this is a combination question since the key word SELECT is mentioned.

Now, how do we go about it? To select a partial number from a mix , we use the combination formula as stated.

Mathematically, say we are selecting a number r from a total of numbers n, the number of ways we can do this is nCr = n!/(n-r)!r!

In this case however, we are simply selecting 4 out of 12

Our combinational equation thus becomes 12C4 = 12!/(12-4)!4! = 12!/8!4! = 495 ways

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