Question

A.S.A.P. A movie theater seats 125 people. At an evening showing of a newly released movie, only 2 seats were vacant.


There are___ways that 2 seats can be left vacant in the movie theater. This is a (permutation or combination) because the order in which the seats are chosen (is/is not) important.

Answer 1

Answer:

7,750 ways, combination, is not.

Step-by-step explanation:

I got it correct!

Answer 2

There are 7750 ways in which two seats can be vacant. This a combination because the order in which the seats are chosen is not important.

What is a combination?

This is an arrangement of items in situation where order is not relevant. It can be expressed mathematically as

nCr = n! / (n - r)! r!

Where

n is the total number

C is the combination

r is the number of selected items

How to determine the combination

• Ttotal number of seats (n) = 125
• Number of vacant seats (r) = 2
• Ccombination (C) =?

nCr = n! / (n - r)! r

125C2 = 125! / (125 - 2)! 2!

125C2 = 125! / 123! 2!

125C2 = 7750

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