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Q.

All the five digit numbers in which each successive digit exceeds its predecessor are arranged in the increasing order. The 105th number does not contain the digit.

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a

1

b

3

c

4

d

5

answer is A, B, C, D.

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Detailed Solution

The five digit numbers starting with 1 are

Question Image

The five digit numbers starting with 2 are

Question Image

Total = 70 + 36 = 105

$∴ (105)^{th} five digit no. is 26789$

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All the five digit numbers in which each successive digit exceeds its predecessor are arranged in the increasing order. The 105th number does not contain the digit.