First off, turn 7 1/4 into a mixed number, 29/4. change 29/4 / 5/6 into a multiplication question by flipping 5/6 into 6/5 (AKA multiplying by the reciprocal) so you get 29/4 X 6/5. then multiply so you get 174/20. Next, simplify into a mixed number by seeing how many times 20 goes into 174, and then putting the leftovers into a fraction, so you get 8 14/20, then simplify even further so you get 8 7/10.
The first letter can be any one of 26 letters. For each one . . . The second letter can be any one of 26 letters. For each one . . .
The first digit can be any one of 10 digits. For each one . . . The second digit can be any one of 10 digits. For each one . . . The third digit can be any one of 10 digits. For each one . . . The fourth digit can be any one of 10 digits. For each one . . . The fifth digit can be any one of 10 digits.
The total number of possibilities is
(26 x 26 x 10 x 10 x 10 x 10 x 10) =
( 26² x 10⁵) = (676 x 100,000) = <em>67,600,000</em> .
