Answer :

Answer:

[tex]_{12}C_9=220[/tex]

Step-by-step explanation:

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

[tex]_nC_k=\frac{n!}{k!(n-k)!}[/tex]

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

[tex]_{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[/tex]

Thanks for taking the time to read can someone break this down for me I m stuck it s an example the answer is 220how do you get 220. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada