How many 5 digit numbers are there such that they are different, where the first as well as last
digits are divisible by 1 and 5, the second as well as 4th digit are divisible by 2 and 4 and the
third digit is divisible by 3
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Answer:
A number is divisible by 4 if last two digits of that number is divisible by 4
The 2 digits numbers which are divisible by 4 from the given set {1,2,3,4,5} are 12,24,32,44 or 52
So, if a number a number ends with 12,24,32,44 or 52, then it is divisible by 4
First 3 digits can be arranged in 5
3
ways
So, the total number of 5 digit numbers which are divisible by 4 without repetition is
5
3
×5=625
hope it will help you
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