Section-1

2

24

1

2

1

4

1

2

10

20

2

2

12

4

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6

3

We need to find largest possible value of ‘n’ such

that (n!)! divides 15000! for that n! < 15000

**Note:** 7! = 5040 and 8! = 40320 > 15000

which implies 15000! is not divisible by 40320!

Therefore, maximum value n can take is 7.

4

14

2

4

47