Compute the following. (a) P8, 2. (b) C8, 2. (c) P6, 6. (d) C7, 7.
P(n,x) = n! / (n-x)!
and
C(n,x) = n! / [ (n-x)! * x! ]
a)
P8,2 = 8! / (8-2)!
= 8! / 6!
= 56
b)
C8,2 = 8! / [ (8-2)! * 2! ]
= 8! / (6! *2! )
= 28
c)
P6,6 = 6! / (6-6)!
= 6! / 0!
= 720
d)
C7,7 = 7! / [ ( 7 - 7)! * 7! ]
= 7! / ( 0! * 7! )
= 1
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