Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Find the largest number n such that (2012!)! is divisible by ((n!)!)!.........where n! is the product of 1st n positive integers.

Find the largest number n such that (2012!)! is divisible by ((n!)!)!.........where n! is the product of  1st n positive integers.

Grade:10

1 Answers

kushal satya
37 Points
9 years ago

WE HAVE,

x! is divisible by r! if x>r.

this implies that

 

(2012!)! is divisible by ((n!)!)! if 2012!>(n!)!

this implies that

2012>n!

the greatest value of n which satisfies it is 6.


Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free