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

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

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

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