2 years ago

Can someone please explain to me how to find the answer 7+ 4x + 5x

1 answer:

5 0

Since you have two numbers that have a (x) at the ends of them, you add those first then add seven which will end up being 9x+7

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

valkas [14]

By definition of the binomial coefficient,

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

so we have

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

as required.

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Step-by-step explanation:

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2 years ago

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Free_Kalibri [48]

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Step-by-step explanation:

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Rewrite equation with parts separated

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2 years ago