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Lila forgot the security code for her apartment building. The code is two different digits followed by a capital letter. How many different possible codes are there?

A. 2,106
B. 2,340
C. 2,600

2 Answers

4 votes
10*9*26=2,340
B.2,340

Lila forgot the security code for her apartment building. The code is two different-example-1
User Rich Bowen
by
7.8k points
3 votes

Answer:B. 2,340

Explanation:

The number of digits = 10 [0,1,2,3,4,5,6,7,8,9]

The number of alphabets = 26

Now we are given that the code is two different digits followed by a capital letter.

Therefore, the number of different possible codes there are :-


=\ ^(10)P_2*26=10*9*26=2340

Hence, there are 2340 different possible codes.

User Eugene Mamin
by
7.5k points