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Burka [1]
3 years ago
8

Seven different prizes are to be distributed among three contest winners such that each winner receives at least one prize and e

ach of the prizes goes to one of the three winners. In how many different ways can the prizes be distributed among the three winners
Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

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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