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All the five digit numbers in which each...

All the five digit numbers in which each successive digit exceeds its predecessor are arranged in the increasing order of their magnitude. The `97^(th)` number in the list does not contain the digit

A

`4`

B

`5`

C

`7`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` All the possible number are
`"(9)C_(5)` (none containing the digit `0`)=`126`
Total numbers starting with `1`
`="(8)C_(4)=70` (using `2,3,4,5,6,7,8,9`)
`1 _ _ _ _`
Total numbers starting with `23`
`="(6)C_(3)=20` (using `4,5,6,7,8,9`)
`23 _ _ _`
Total number starting with `245="^(4)C_(2)=6` (using `6,7,8,9`)
`245 _ _ `
`97^(th)` number =`24678`
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