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?

Question

Mathematics

Caleb Garrison

14 April, 09:32

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?

+5

Answers (1)

Know the Answer?

Max Taylor · Answer 1

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.