Question

Calculate the product of odd natural numbers less than 100

Answer 1

Explanation:

product of odd natural no.

= 1*3*5*7*9*.....*99

divide & multiply with 2,4,6,8,....98

=(2*4*6*8*...*98)*(1*3*5*7*9*....*99)/(2*4*6*8*....*98)

=(1*2*3*4*5*....*98*99 )/(2^49(1*2*3*....*49))

=(99!)/2^49*(49!)

= 2725 39213 97507 29502 98071 32454 00918 63329 07963 30545 80341 37343 28823 44310 62011 71875