SOLUTION: A large marketing firm will select 4 employees from a list of 8 to represent the company at a regional conference. How many combinations of employees are possible?
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Question 508299: A large marketing firm will select 4 employees from a list of 8 to represent the company at a regional conference. How many combinations of employees are possible? Found 2 solutions by stanbon, Maths68:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A large marketing firm will select 4 employees from a list of 8 to represent the company at a regional conference. How many combinations of employees are possible?
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Ans: 8C4 = (8*7*6*5)/(1*2*3*4) = 70 combinations
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Cheers,
Stan H.
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You can put this solution on YOUR website! Use following formula
nCr = n! /r!(n-r)!
Where
n=8, r=4
Total Combinations = 8C4 = 8!/4!(8-4)!
Total Combinations = 8C4 = 8!/4!(4)!
Total Combinations = 8C4 = 8*7*6*5*4!/4*3*2*1*4!
Cancel out 4!
Total Combinations = 8C4 = 8*7*6*5/4*3*2*1
Total Combinations = 8C4 = 1680/24
Total Combinations = 8C4 = 70