Three letters are chosen at random from the letters P, A, N, S, O, L. What is the size of the sample space of this experiment? Assume that the order of the letters matters. That is, PAN is different from APN.
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Question

Three letters are chosen at random from the letters P, A, N, S, O, L. What is the size of the sample space of this experiment? Assume that the order of the letters matters. That is, PAN is different from APN.
24
60
120
210
336

perl · Answer

you can use permutations. you want 6 P 3

perl · Answer

another way, you have 6 choices for the first letter, then picking one you have 5 choices for the next letter. then picking one you have 4 choices for the next letter. 
by the multiplication principle that gives you 6x5x4

anonymous · Answer

120