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All the five-digit numbers N=a b c d e having property a<b<c<d<e  are arranged in the increasing order of their magnitude. The 97^{\text {th }} number in the list does not contain the digit

Option: 1

4


Option: 2

5


Option: 3

7

 


Option: 4

8


Answers (1)

best_answer

All the possible number are 

                { }^9 \mathrm{C}_5 \text { (none containing the digit } 0 \text { ) }=126

Total number starting with 1 

={ }^8 \mathrm{C}_4=70 \quad \text { (using } 2,3,4,5,6,7,8,9 \text { ) }

1_ _ _ _ _ 

Total numbers starting with 23 

\left.={ }^6 \mathrm{C}_3=20 \quad \text { (using } 4,5,6,7,8,9\right)

23 _ _ _ _

Total numbers starting with 245={ }^4 C_2=6 \text { (using } 6,7,8,9 \text { ) }

245 _ _ _

97^{\text {th }} \text { number }=24678

Posted by

Pankaj

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