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Q.

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

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a

1106

b

none of these

c

952

d

1246

answer is C.

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Detailed Solution

Number of digits Numbers ending with 0Numbers ending with 5Total
×011
××9817
×××9.8 = 728.8 = 64136
××××9.8.7 = 5048.8.7 = 448952
  Total1106
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The number of distinct natural numbers up to a maximum of four digits and divisible by 5, which can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 , 8, 9, each digit not occurring more than once in each number, is