47.8k views
5 votes
An identification system assigns each item a code using 3 capital letters. How many different codes are possible?

(there are 26 letters in the alphabet)

A. 78


B. 7,800


C. 15,600


D. 17,576

2 Answers

6 votes

Answer:

D. 17,576

Explanation:

26*26*26 = 26 3cube = 17,576

User Sueann
by
8.7k points
1 vote
Each letter can be in three different places for the 3-letter code.

Next, since there are 26 letters in the alphabet,
26^3 = 17,576 should be the answer here.

D. 17,576

Good luck!
User Satarupa Guha
by
7.7k points
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