How many possible four letter code words can be formed using 4 consonants of the English alphabet
Solution : First ten letters of the alphabet can be used i.e A,B, C,D,E, F,G,H, I,J. Four letter code is to be formed. Show Mark M. answered • 09/30/18 Tutor 4.9 (917)Math Tutor--High School/College levels About this tutor › About this tutor › If a letter can be used more than once, then the number of possibilities is (4)(4)(4)(4) = 44 = 256
If each letter is used only once, then the number of possibilities is (4)(3)(2)(1) = 24 Upvote • 0 Downvote Add comment More Report Arthur D. answered • 09/30/18 Tutor 5.0 (148)Mathematics Tutor With a Master's Degree In Mathematics About this tutor › About this tutor › if there is repetition... there are 4 letters, all different 4*4*4*4=256 if there is no repetition... 4*3*2*1=24 this is a permutation, not a combination Upvote • 0 Downvote Add comment More Report How many 4 letter codes can be formed using 4 letters?The answer is 360.
How many 4 letter combinations can be formed from the consonants?So, the answer will be (4 * 6 * 120) = 2880.
How many 4 letter words can be formed from the alphabet?If repetition is allowed there are 26 possibilities for each letter. Therefore, there are 26^4 = 456,976 possible 4 letter strings if repetition is allowed.
How many four(b) Since the letters may not be repeated, each of the four letters of the code can be selected in 4 ways. So the required number of four-letter codes = 4×4×4×4=256 4 × 4 × 4 × 4 = 256 .
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