SOLUTION: Using the definition of permutations and combinations, solve for n in the following equation.
n P 3 = 2( n C 4)
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-> SOLUTION: Using the definition of permutations and combinations, solve for n in the following equation.
n P 3 = 2( n C 4)
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Question 1083797: Using the definition of permutations and combinations, solve for n in the following equation.
n P 3 = 2( n C 4) Answer by ikleyn(52781) (Show Source):
n P 3 = n*(n-1)*(n-2).
n C 4 = .
So, your equation is
n*(n-1)*(n-2) = .
Simplify (by canceling the factors n*(n-1)*(n-2) in both sides)
1 = , or
= n-3 ---> n-3 = 12 ---> n = 15.
