Fly the super spy is trying to unravel a secret 3 digit code. Fly knows that the first digit must be an even number, an the last must be an

Question

Fly the super spy is trying to unravel a secret 3 digit code. Fly knows that the first digit must be an even number, an the last must be an odd number. How many differnt combinatons of the threendigit code exist. ( Note; zeto is counted as an even number)

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Sigridomena 4 years 2021-09-01T01:00:21+00:00 1 Answers 15 views 0

Answers ( )

  1. minhkhang
    0
    2021-09-01T01:01:38+00:00
    Reply

    Answer:

    250

    Step-by-step explanation:

    Given

    n =3 — digit code

    First = Even

    Last=Odd

    Required

    The different combination of codes

    The set of even number is:

    Even = \{0,2,4,6,8\}

    The set of odd is:

    Odd = \{1,3,5,7,9\}

    This means that:

    The first can be any of the 5 even digits

    The last can be any of the 5 odd digits

    Since there is no restriction in selection;

    The second can be any of the 10 digits

    So, the possible combination (k) is:

    k =5 * 10 * 5

    k =250

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