Question

hundreds digit of 40 ! - 15 !​

Answer 1

100+2=102

40/1 × 102/102=4080/102

15/1 × 102/102=1530/102

Then pick any 100 numbers between

4080 and 1530

Answer 2

Answer: 0

Explanation:

40! has 8 zeroes at the end of its value i.e. unit,tens,hundreds,thousands and do on AND

15! has 3 zeroes at the end of its value i.e. unit, tens,hundreds.

We are concerned with hundreds and both numbers has its hundreds digit as 0 hence

0-0=0.

So our answer is 0 as hundreds digit in 40!-15!

For example,

Lets know how to find number of zeroes at the end of 15! And similar thing is with 40!

15!=15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Now 10= 2*5 (in any factorial no.of 2 is always greater than no.of 5) so we need to calculate how many 5 are there in a given factorial and thats our number of zeroes.

Trick to find no. of zeroes (no.of 5)

This method is division method.

Please refer image for solution.

Hope this helped.