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Number of four digit number between 7000...

Number of four digit number between `7000` and `8000`, such that the thouosands digit is equal to the sum of other three digit, is

A

`36`

B

`38`

C

`15`

D

`18`

Text Solution

Verified by Experts

The correct Answer is:
A
Number of four ……….
Number are of from
`:. X+y+z=7 , 0 le x, y z le 7`
Number of ways = `.^(9)C_(2)` (9 identical balls in 3 different boxes, empty allowed)
`= 36`
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