If (frac{^{8}P_{x}}{^{8}C_{x}} = 6), find the value of x.
-
A.
1 -
B.
2 -
C.
3 -
D.
6
Correct Answer: Option C
Explanation
(frac{^{8}P_{x}}{^{8}C_{x}} = frac{8!}{(8 – x)!} ÷ frac{8!}{(8 – x)! x!} = 6)
(frac{8!}{(8 – x)!} times frac{(8 – x)! x!}{8!} = x! = 6)
(x = 3)