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amid [387]
2 years ago
6

A home alarm system randomly assigns a five-character code for each customer. The code will not repeat a character. The characte

rs 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?
A.) 1,320
B.) 95,040
C.) 9,540
D.) 11,880
Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Answer:

The total number of codes which can be assigned is, 55440 .

Step-by-step explanation:

According to the question, the home alarm system randomly assigns a five-character code for each customer.The code will not repeat a character and there are 11 distinct characters.

So, the total number of codes that can be randomly assigned is given by,

^{11}{P}_{5}

= \frac {11!}{6!}

= 11 \times 10 \times 9 \times 8 \times 7

= 55440

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