- Have any questions?
- [email protected]
- Home
- Find the sum of all the 4 digit numbers that can be formed with the digits 3, 4, 5 and 6
Question 1:
Find the sum of all the 4 digit numbers that can be formed with the digits 3, 4, 5 and 6 A. 119988
Feedback No. of Digits = 4 All are distinct; They can be arranged in 4! = 24 ways
Each of the digits 3, 4, 5 and 6 occur at unit place = 3! Ways = 6 ways.
Thus there will be 6 numbers ending with 3, 4, 5 and 6 each. So the sum of the digits at unit's place = 6(3 + 4 + 5 + 6) =108
The sum of numbers = 108 × 103 + 108 × 102 + 108 × 101 + 108 × 100 = 119988
Each of the digits 3, 4, 5 and 6 occur at unit place = 3! Ways = 6 ways.
Thus there will be 6 numbers ending with 3, 4, 5 and 6 each. So the sum of the digits at unit's place = 6(3 + 4 + 5 + 6) =108
The sum of numbers = 108 × 103 + 108 × 102 + 108 × 101 + 108 × 100 = 119988
B. 11988
C. 191988
D. None of these
These questions are from this test. Would you like to take a practice test?