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The number of natural numbers less than 10000 which are divisible by 5 and that no digit is repeated in the same number, is

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802

602

702

1106

answer is D.

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Detailed Solution

One digit numbers are =1

two digit numbers $\Rightarrow 9 + 8 = 17$

Three digit numbers $\Rightarrow 9 \times 8 + 8 \times 8 = 136$

Four digit numbers $\Rightarrow 9 \times 8 \times 7 + 8 \times 8 \times 7 = 952$

Total natural numbers less than 10000 which are divisible by 5 is 1106

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