Find the value of x If xP3=336
xP3 = x! / (x - 3)!
Now arrarge the number 336 so that it has successive factors that are all different from each other by 1.
336 = 4 * 84
336 = 4 * 4 * 21
336 = 4 * 4 * 3 * 7 (we have now got all the factors fairly close to each other)
336 = 4* 2 * 6 * 7
336 = 6 * 7 * 8 (set of factors with a common difference of 1)
336 = 8! / 5! = 8! / (8 - 3)!
Comparing 8! / (8 - 3)! with x! / (x - 3)!
x = 8