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
B
952
C
1106
D
None of these

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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