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
Menu
Grade: 12
        
The number of 6 digit numbers that can be made with the digits 1,2,3 and 4 and having exactly two pairs of digits, is
one year ago

Answers : (2)

Nishant Vora
IIT Patna
askIITians Faculty
2468 Points
							exactly two pairs means we can pair 1,2 with 3,4 and so on

Hence, 2 pairs = 4 numbers

hence all 4 numbers should be included

so number of 6 digit numbers which can be formed by using thedigits 1,2,3 and 4.

4^6

one year ago
Lavya
15 Points
							
Choose the repeat digits from {1,2,3,4} in C(4,2) ways then the remaining two digits take care of themselves since we are not allowed any more pairs. 
Now we have 6 numbers with 2 pairs and 2 singles which may be permuted in 6!/(2!2!1!1!) ways: 

C(4,2)*6!/(2!2!1!1!) = 1080
4 days ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 233 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details