SOLUTION: student was asked to form two-digit numbers using the following digits: 0,1,2,3,4,5,6,7, and 8 how many of these are divisable by 2? Repeating of digits are not allowed Can you

Question 1173433: student was asked to form two-digit numbers using the following digits: 0,1,2,3,4,5,6,7,
and 8
how many of these are divisable by 2?
Repeating of digits are not allowed
Can you help me with this?.... thank you so much
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi
form two-digit numbers using the following
9 numbers: 0,1,2,3,4,5,6,7,8
how many of these are divisible by 2? Even
tens digit 8 choices (not zero)
ones digit 5 choices (0,2,4,6,8)
8x5 = 40 choices for even numbers
Repeating of digits are not allowed (22,44,66,88)
40 - 4 = 36 is the number of even with no repeating digits
Wish You the Best in your Studies.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

First digit can be any of the 8 given digits from 1 to 8 inclusive. (notice that 0 (zero) can not be the first digit of a two-digit number). Second digit can be any of the 5 given EVEN digits 0, 2, 4, 6, and 8. It gives us 8*5 = 40 potential candidates for two digit numbers. From this amount, we should exclude two-digit numbers with repeating digits. They are 22, 44, 66, and 88 - in all, 4 numbers must be excluded from 40. It gives the ANSWER 40 - 4 = 36. ANSWER. There are 36 two-digit numbers satisfying to imposed conditions.

Solved.

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