Given the 4-letter word DEAR. In how many ways can we arrange it’s letters,3 at a time?
Answer:
The number of different selections (or combinations) of 3 letters from 4 letters r,e,a,d is 4C3 = 4. For each of these 3-letter selection the number of different arrangements (or permutations) is 3P3 or 3! = 6.
The answer is 4×3! =4! =24
Alternately permutations of 3 letters chosen from 4 letters is 4P3 = 4!/(4–3)! = 4!
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