2000 is the answer.
(explanation)
There are four choices for the first digit since it cannot be zero . ( We do not
consider something like 01234 to be a 5-digit number.)
Any of the five choices will do for the second, third and fourth digits.
The last digit must be 0,2,4, or 5 to make it divisible by 2 or 5 or both.
Therefore, there are 4 x 5 x 5 x 5 x 4 = 2000 possibilities in all.
There are 2000 such numbers.
if the repetition is allowed the there is 6*6*6 possible ways = 216
9 odd numbers less than 100 can be formed. They are: 3,5,7,35,37,53,57,73 and 75.
If repetition is allowed and leading zeros are allowed, then you have 000 to 999, which is 1,000 possibilities (I will not list them here). If no leading zeros are allowed, then you have 100 through 999, so there are 900 possibilities. If there are other restrictions, such as no repetition, then I'll refer you to the related link at MathsIsFun.com
"Divisible by two" means the number can end with 0,2, or 4."Divisible by five" means the number can end with 0 or 5.Combined that means the ONLY digit the number cannot end with is 3; it can end with any of the other four.Also, I'm presuming that it's not a "five digit number" if it starts with a 0, so only four of the digits are legal there.All told, there are 4 x 5 x 5 x 5 x 4 possibilities. That's 2000 different possible numbers.
There are 2000 such numbers.
If repetition of digits isn't allowed, then no13-digit sequencescan be formed from only 5 digits.
If repetition is allowed . . . . . 343 If repetition is not allowed . . . . . 210
64 if repetition is allowed.24 if repetition is not allowed.
There are 2000 such numbers.
There are 5*5*5 = 125 such numbers.
if the repetition is allowed the there is 6*6*6 possible ways = 216
It is 415968.
125
20 of them, if repetition is not allowed.
64 if repetition is allowed, 6 otherwise.64 if repetition is allowed, 6 otherwise.64 if repetition is allowed, 6 otherwise.64 if repetition is allowed, 6 otherwise.
125 There are five choices for each of the three digits (since repetition is allowed). So there are 5*5*5=125 combinations.