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11 October, 05:17

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?

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  1. 11 October, 05:37
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    575

    Step-by-step 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
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