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

Options

A. `4`
B. `5`
C. `7`
D. `8`

Answer

B

Explanation

`(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`