Mathematics: Seven different prizes are to be distributed among three contest winners such that each winner receives at least one prize and each of the prizes goes to one of the three winners. In how many different ways can the prizes be distributed among the three winners

Seven different prizes are to be distributed

Ответ:

AK4700

14.02.2022

Mathematics

The answer is "35"

Step-by-step explanation:

$\to n=7\\\\\to r=3\\\\Formula:\\\\\to {}^{n}C_{r}= \binom{n}{r}= \frac{n!}{r!(n-r)!}\\\\$

$\to {}^{7}C_{3}= \binom{7}{3}= \frac{7!}{3!(7-3)!}\\\\$

$= \frac{7\times 6 \times 5 \times 4!}{3! \times 4!}\\\\= \frac{7\times 6 \times 5 }{3!}\\\\= \frac{7\times 6 \times 5 }{3\times 2 \times 1}\\\\ = 7 \times 5 \\\\= 35$

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Ответ:

lucifer6669

16.07.2021

Mathematics

The angle opposite the smallest side is the smallest.

Since tan is opposite over adjacent, your answer is tan(3/4).

Hope this helps!

:)

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Seven different prizes are to be distributed among three contest winners such that each winner receives at least one prize and each of the prizes goes to one of the three winners. In how many different ways can the prizes be distributed among the three winners

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