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Mainline is choosing 3 of her 10 best flowers displays to be entered in a competition. How Many different selections are possible?

User Mapet
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2 Answers

2 votes

Answer:

There are 120 different selections of 3 flower displays that Mainline can choose from her 10 best flowers displays.

Hope this helps you buddy!!!!!!!!!!

User Alexandru Dicu
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6.8k points
1 vote

Answer:

Explanation:

This is a combination problem because the order in which the flower displays are chosen does not matter. We can use the formula for combinations, which is:

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

Where n is the total number of items (in this case, 10 flowers displays) and r is the number of items we want to choose (in this case, 3 flower displays).

Plugging in the numbers, we get:

10C3 = 10! / 3!7!

= (10 x 9 x 8) / (3 x 2 x 1)

= 120

Therefore, there are 120 different selections of 3 flower displays that Mainline can choose from her 10 best flowers displays.

User ZTrix
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7.6k points