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The sum of all 4 digit numbers formed by...

The sum of all 4 digit numbers formed by using `2, 3, 4` and 7 repetition of digits is not allowed, belongs to the interval : (a) `(106000, 106300)` (b) `(106300, 106600)` (c) `(106600, 106900)` (d) `(106900, oo)`

A

`(106000, 106300)`

B

`(106300, 106600)`

C

`(106600, 106900)`

D

`(106900, oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
The sum of all ………
`(4!)/(4) (2+3+4+7)(10^(0)+10^(1)+10^(2)+10^(3))`
`= (24)/(4)(16)(1111) = 106656`
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