math157

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How many three-symbol codes (letter-number-number) can be made from the letters S, P, Y and two digits from the set {0, 1, 2, …,9} without repetition?


I think I am suppose to match each letter with a number until I exhaust all possibilities but I am not sure can you help please?

  • math157 -

    for the letter: determine first how many letters are possible,,
    there are 3 *S, P, Y
    for the first number: how many are possible,,
    there are 10 *0,1,2,..9
    for the second number: since no repetition is allowed, there only 9 possible,,,
    then multiply:
    3*10*9 = 270 possibilities

    so there,, =)

  • math157 -

    Wonderful, Thanks for your hel:)

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