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6 August, 00:05

A home alarm system randomly assigns a five-character code for each customer. The code will not repeat a character. The characters are 1, 2, 3, 4, 5, E, M, T, G, Y, and R. What is the total number of codes that can be randomly assigned?

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  1. 6 August, 01:24
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    55440 codes.

    Step-by-step explanation:

    There are 11 characters to choose from and the codes is 5 characters long.

    The total number of possible codes is the number of permutations of 5 from 11

    = 11P5

    = 11! / (11 - 5) !

    = 11! / 6!

    = 11*10*9*8*7

    = 55440.
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