Question

Find the no of zeros in the product of 1^1*2^2*3^3*…..*49^49

Answer 1

Answer =250

0 will be produced when an even number be multiplied by 5

or a num multiplied by 10

now 10^10=10 0's

20^20= 20 0's

30^30=30 0's

40 ^40=40 0's

5^5=5 0's

15^15=15 0's

35^35=35 0's

45^45=45 0's

but 25^25 can be written as

5^25*5^25=50 0's

summing up 250 0's