Answer :

meep1259
(26^2)*(10^3)
676*1000
676,000 possibilities

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 [tex]26P2[/tex] ways

And 3 codes can be selected from 10 digits in [tex]10P3[/tex] ways

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

No of ways = 11232000

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