Question

A new radio station chooses its four-letter call name. The first letter must be a C. The second letter must be B, F, J, K or S. The third letter must be a vowel and the fourth letter must be a consonant different from the others. How many different call names are possible?

Answer 1

575

Explanation:

___ ___ ___ ___

The first one must be C, so there is one possible answer for the first slot.

The second one will be B F J K or S, which is 5 possible answers.

The 3rd will be A E I O or U, which is also 5.

The fourth will be the alphabet minus the already used letters, and since none of the letters have a possibility of repeating, it is 26 - 3 = 23

1 * 5 * 5 * 23 = 575