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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?

A2,106
B2,340
C2,600

Verified Answer :

10926=2,340
B.2,340

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Answer:B. 2,340

Step-by-step 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  :-

\(=\ ^{10}P_2\times26=10\times9\times26=2340\)

Hence, there are 2340 different possible codes.