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How many 4-letter code can be formed using the first 10 letters of English alphabet, if no letter can be repeated?

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Given : First 10 letters of English alphabet 

To find : number of 4-letter codes

Since required is 4-letter code, therefore, I-place can be filled in 10 ways, H, III and IV places can be filled in 9 ways, 8 ways and 7 ways respectively (because repetition of letter is not allowed). 

Hence four places can be filled in 

10 x 9 x 8 x 7 ways 

i.e., 5040 ways 

∴ Required number of 4-letter code = 5040

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