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Q.

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

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a

1

b

2

c

6

d

All of these

answer is A.

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Detailed Solution

A five digit numbers in which each successive digit exceeds is predecessorNumbers start with 1. Select four digits from the remaining 8 digits, this can be done in C8,4=70.Numbers start with 2Select four digits from the remaining 7 digits this cane be done in C7,4=35last number which start with 2 is 105th numberso that 105th number is 26789
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