GRE Probability question

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How many 3-digit positive integers are odd and do not contain the digit 5 ?

My attempt: 100-999 3 -digit integers, 900/2=450 odd numbers. Now how to calculate odd numbers which do not contain digit 5 in it.

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Units digit should contain {1,3,7,9} = 4; Tens digits can be {0,1,2,3,4,6,7,8,9} = 9 Hundreds digit can be {1,2,3,4,6,7,8,9} = 8.

So the answer is 8$*$9$*$4 = 288