Question

The ratio of the factorial of a number x to
the square of the factorial of another number, which when
increased by 50% gives the required number, is 1.25. Find
the number x.
(a) 6
(b) 5
(C) 9
(d) None of these​

Answer 1

let us suppose

another number= y

so,

increase= y+50% of y = x

and y = x/ 1.5

also,

x!/(y!)² =1.25

x! /[(x/1.5)!]² =1.25