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k0ka [10]
3 years ago
14

Jeanine Baker makes floral arrangements. She has 18 different cut flowers and plans to use 7 of them. How many different selecti

ons of the 7 flowers are​ possible?
Business
1 answer:
inessss [21]3 years ago
3 0

Answer:

<h2>31,824 different selections</h2>

Explanation:

Since we are making selection, we will use the combination formula to find the  number of selections possible.

For example, If r objects are selected from a pool of n objects, this can be done in nCr different ways.

nCr = \frac{n!}{(n-r)!}r! \\

if Jeanine Baker makes floral arrangements with 18 different cut flowers and plans to use 7 of them, her selection can be made in 18C7 different ways.

18C7 = \frac{18!}{(18-7)!7!}\\18C7 = \frac{18!}{11!7!}\\ 18C7 = \frac{18*17*16*15*14*13*12*11!!}{11!*7*6*5*4*3*2!}\\\\18C7 = \frac{18*17*16*15*14*13*12}{7*6*5*4*3*2!}\\18C 7 = \frac{3*17*16* 3*2*13}{2} \\18C7 = 31,824\ different\ selections

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