Can someone break this down for me!! I'm stuck

Mathematics

1 answer:

nadya68 [22]2 years ago

4 0

Answer:

$_{12}C_9=220$

Step-by-step explanation:

Recall the definition for the combination symbol with the use of factorial (symbol !):

$_nC_k=\frac{n!}{k!(n-k)!}$

Therefore, for the case where n = 12 and k = 9, we have:

$_{12}C_9=\frac{12!}{9!(3)!}\\_{12}C_9=\frac{12*11*10*9*8*7*6*5*4*3*2}{9*8*7*6*5*4*3*2(3*2)}\\\\_{12}C_9=\frac{12*11*10}{3*2}\\\\_{12}C_9=\frac{1320}{6}\\\\_{12}C_9=220$

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