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Question

The number of distinct natural numbers up to a maximum of four digits and divisible by $$5$$, which can be formed with the digit $$0, 1, 2, 3, 4, 5, 6, 7, 8, 9$$ each digit not occurring more than once in each number is


A
1246
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B
952
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C
1106
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D
None of these
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Solution

The correct option is C $$1106$$
Number of digitsNumber ending with $$0$$Numbers ending with $$5$$Total
$$x$$$$0$$$$1$$$$1$$
$$xx$$$$8$$$$9$$$$17$$
$$xxx$$$$9.8 = 72$$$$8.8 = 64$$$$136$$
$$xxxx$$$$9.8.7 = 504$$$$8.8.7 = 448$$$$953$$
Total$$1106$$

Mathematics

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