Question

How many 4-letter code words are possible using the first
10 letter of the English alphabet if no letter can be
repeated?​

Answer 1

Answer:

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Answer 2

Answer:

There are 10 letters available and we have to select 4 letters to form the code.

4 letters can be chosen from 10 letters in 10C4 ways = 10(9)(8)(7)/(4)(3)(2)(1) = 210 ways.

The 4 letters can be arranged among themselves in 4! = (4)(3)(2)(1) = 24 ways.

Number of 4-letter codes that can be formed using the 10 letters of the English alphabet if no letter can be repeated is 210(24) = 5040

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