#### Thank you for registering.

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

Please check your email for login details.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
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

# all numbers greater than 1000 formed by using the digits 1, 3, 5, 7, no digit repeated in any number is A. 106656 B. 101276 C. 82171 D. 81273

Grade:Upto college level

## 1 Answers

Latika Leekha
askIITians Faculty 165 Points
7 years ago
as per the options, the question should have been the sum of numbers greater than 1000 formed by the digits 1, 3, 5 and 7 when no repetition is allowed.
The numbers formed using teh digits 1, 3, 5 and 7 will be
1357
1375
1573
1537
….…
In total, there would be 4! = 24 numbers to add.
Each vertical column would have an equal numbver of 1’s, 3’s, 5’s and 7’s.
Hence, since 24/4 = 6, the sum of each column would be 6 * (1+3+5+7) = 96.
Hence, the required sum is
96*1000 + 96*100 + 96*10 + 96*1
= 106656.
Hence, the correct option is (A).
Thanks & Regards
Latika Leekha
askIITians Faculty

## ASK QUESTION

Get your questions answered by the expert for free