## Related questions with answers

Question

Solve by the method of your choice. Two teachers have driven to school in separate cars. When they arrive, there are seven empty spaces in the parking lot. They each choose a parking space. How many outcomes are possible?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3In order to solve this equation, we need to use the formula for the number of combinations, $_nC_r$ of $n$ things taken $r$ at a time.

$_nC_r=\dfrac{n!}{(n-r)!r!}$

Based on the problem, we have $n=7$ which represents the number of empty parking spaces, and $r=2$ which represents the number of spaces they are occupying.

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