Question 552511
# 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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