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

1246

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952

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1106

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None of these

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Solution

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

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