10. Let X be the set of the 26 lowercase English letters and 10 decimal digits. How many X-strings of length 15 satisfy all of the following properties (at the same time)?
• The first and last symbols of the string are distinct digits (which may appear elsewhere in the string).
• Precisely four of the symbols in the string are the letter 't'.
• Precisely three characters in the string are elements of the set V = {a,e,i,o,u} and these characters are all distinct.