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4 years ago

8

Does anyone know the answer to this question?

1 answer:

Ratling [72]4 years ago

5 0

Answer:

(4,1)

Step-by-step explanation:

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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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2 years ago

estimate by rounding each number to the same place value. please help with these i did these but i wanna make sure they are corr

valkas [14]

Im not too sure with these, but this is what i got

11. 39.90
12.16
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3 years ago

15 pounds of ham to make 35 sandwiches. How much ham per sandwich?

polet [3.4K]

15 pounds / 35 sandwiches ~ 0.43 pounds ham per sandwich

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3 years ago

The perimeter of a rectangular table is 8 m.

ipn [44]

Answer:

The side lengths are 1.5m and 2.5m.

Step-by-step explanation:

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3 years ago

John played a note on his tuba that vibrated the air 70 times per second. If he played the note for 5 seconds, how many times di

lutik1710 [3]

That's simple just multiply 70 and 5

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3 years ago

Read 2 more answers