Evaluate. C(9, 7) A. 181,440 B. 72 C. 36 D. 63
B.
Thanks
np
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\(\sf C(m, n) = \dfrac{m!}{(n!)(m-n)!}\)
\(\sf C(9, 7) = \dfrac{9!}{(7!)(9-7)!}\) Simplify
Btw, B is incorrect @kyrsten6372
\(\sf C(9, 7) = \dfrac{9!}{(7!)(2)!}\)
Okay
\(\sf C(9, 7) = \dfrac{9 \times 8 \times \cancel 7 \times \cancel 6 \times \cancel 5 \times \cancel 4 \times \cancel 3 \times \cancel 2}{\cancel 7 \times \cancel 6 \times \cancel 5 \times \cancel 4 \times \cancel 3 \times \cancel2 \times 2}\)
Can you finish it?
72
The top equals 72, but there's still a 2 at the bottom.
36
Yep
Thanks
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