Question

How many zeros are there in the product
200*199*198*197..................*4*3*2*1

Answer 1

Answer:

49

Step-by-step explanation:

The number of zeros depend on number of 2’s and 5’s in intermediate steps..

If we take 200! in to consideration, there will be more number of 2’s when compared with 5’s.

If we be able to find out number of 5’s that will be the answer.

Number of 5’s= 200/5 + 200/25 + 200/125 =40+8+1=49.