Question 552511: Evaluate the two given expressions.
1. ^6C^3
2. ^7P^2
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! # 1
C(n,r) = (n!)/(r!(n-r)!)
C(6,3) = (6!)/(3!*(6-3)!)
C(6,3) = (6!)/(3!*3!)
C(6,3) = (6*5*4*3!)/(3!*3!)
C(6,3) = (6*5*4)/(3!)
C(6,3) = (6*5*4)/(3*2*1)
C(6,3) = (120)/(6)
C(6,3) = 20
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# 2
P(n,r) = (n!)/((n-r)!)
P(7,2) = (7!)/((7-2)!)
P(7,2) = (7!)/(5!)
P(7,2) = (7*6*5!)/(5!)
P(7,2) = 7*6
P(7,2) = 42
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