SOLUTION: Evaluate the two given expressions. 1. ^6C^3 2. ^7P^2

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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