# 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 -

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