# How many 4 digits number formed of only odd digits are divisible by five

How many 4 digits number formed of only odd digits are divisible by five

 muskan12 Posts: 7, Reputation: 1 New Member #2 Mar 18, 2010, 01:48 AM
How many 4 digits number formed of only odd digits are divisible by five
 mathwiz3502 Posts: 121, Reputation: 8 Junior Member #3 Mar 18, 2010, 02:47 AM
The same answer to how many 3 digit numbers consist of only odd digits.
 galactus Posts: 2,272, Reputation: 1436 Ultra Member #4 Mar 18, 2010, 07:13 AM
Assuming repetition is allowed and 0 is not used because it is not an odd digit.

There are 5 odd digits: 1,3,5,7,9

Then, there are 5 choices for the first digit, 5 for the second, 5 for the third. But, for a number to be divisible by 5 it must end in 0 or 5. Since 0 is not an odd digit, we use the 5 and there is one choice.

5*5*5*1

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