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Nimfa-mama [501]
3 years ago
10

An identification code is to consist of 2 letters followed by 3 digits. how many different codes are possible if repetition is n

ot permitted
Mathematics
2 answers:
Lena [83]3 years ago
6 0
(26^2)*(10^3)
676*1000
676,000 possibilities
Artemon [7]3 years ago
3 0

Answer:

11232000

Step-by-step explanation:

Given that an identification code is to consist of 2 letters followed by 3 digits.

Also given that repetition is not permitted.

Since order matters here we find that permutation to be used.

Out of 26 letters, 2 letters can be selected without repitition in 26P2 ways

And 3 codes can be selected from 10 digits in 10P3 ways

Hence total number of codes = 10P3(26P2)\\\\=10(9)(8) (26)(25)(24)\\=720(100)(156)\\=11232000

No of ways = 11232000

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