Explanation:

For the number to be greater than 30000, it must start with the digit 3. Also, as only 5 digits are given
to us, all must be used.
3 _ _ _ _
The 4 blanks have to be filled by two 2’s and two 3’s.
Number of ways to do so = 4!/(2! 2!) = 6
These numbers are: 33322, 33232, 33223, 32332, 32323, and 32233.