how many 4 digit numbers divisible by 5 can be formed from 0,1,3,5,7,9 if repetition is...

how many 4 digit numbers divisible by 5 can be formed from 0,1,3,5,7,9 if repetition is not allowed and 0 and 1 Can not be next to each other.

i can do the first part. there are 2 cases

case 1, the number ends in zero.

5 x 4 x 3 x 1. but i dont know how to account for the zero and one not being able to be next to each other. i counted 12 possible numbers that would end in 10.

case 2, the number ends in 5. (and cant start with 0)

5 x 4 x 3 again i dont know how to account for all the possible cases where 1 and 0 are next to each other.

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Expert Solution

Colby Messinger answered 1 year ago

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