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algol13
3 years ago
7

Suppose that there are 11 employees in an office. The boss needs to select 5 of the employees to

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

462ways

Step-by-step explanation:

This Is a combination problem, we we are expected to determine the number of possible ways of selecting the numbers of staffs for a business trip

C(n, r) were n= 11

r=5

C(n, r) = n!/(n-r)! r!

C(n, r) = 11!/(11-5)! 5!

C(n, r) = 11!/(6)! 5!

C(n, r) = 11*10*9*8*7*6!/(6)! 5*4*3*2*1

C(n, r) = 11*10*9*8*7/5*4*3*2*1

C(n, r) = 55440/120

C(n, r) = 462

The number of possible ways is 462

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