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# what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divis

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what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divisible by 4. In how many ways can this be done?

Aug 7, 2015

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what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divisible by 4. In how many ways can this be done?

A number is divisable by 4 if the last 2 digits are divisable by 4.

I think the only 2 digit numbers that can be made that are divisable by 4 are 16, 56, 64 and 76  (4 possibilities)

If the last 2 digits are 16 then there are 3! ways ways that the others can be ordered.  That is 6 ways.

The same applies for each of the other final pairs .

So I believe that there are   4*6 = 24 possibilities.

Aug 7, 2015

#1
+10

what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divisible by 4. In how many ways can this be done?

A number is divisable by 4 if the last 2 digits are divisable by 4.

I think the only 2 digit numbers that can be made that are divisable by 4 are 16, 56, 64 and 76  (4 possibilities)

If the last 2 digits are 16 then there are 3! ways ways that the others can be ordered.  That is 6 ways.

The same applies for each of the other final pairs .

So I believe that there are   4*6 = 24 possibilities.

Melody Aug 7, 2015