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Question:
How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated ?
Answer:

A number is divisible by 10 if the unit digit of the number is 0.

Given digits are 0,1,3,5,7,9

Now we fix digit 0 at unit place of the number.

Remaining 5 digits can be arranged in 5! ways

So total 6-digit numbers which are divisible by 10 = 5! = 120 

 

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