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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?

Respuesta :

Answer:

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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