3+3+4+4+2+3+4+4+6+= please help me

Mathematics

2 answers:

Pie3 years ago

6 0

Answer:

3+3+4+4+2+3+4+4+6

Step-by-step explanation:

3+3+4+4+2+3+4+4+6 = 33

DedPeter [7]3 years ago

5 0

Answer:

Hope it's helpful to you

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Prove that C(50,3) + C(50,4) = C(51,4)

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By definition of the binomial coefficient,

$C(n,k) = \dfrac{n!}{k!(n-k)!}$

so we have

$C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)$