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AleksAgata [21]
3 years ago
14

At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in h

er department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?
Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

^nC_r=\frac{n!}{r!(n-r)!}

Put n = 25 and r= 6, we get

^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100

Hence, there are 177100 possible groups.

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==========================================================

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