q find the number of ways three letter words can

Question

Q. Find the number of ways three letter "words" can be chosen from the alphabet if none of the letters can be repeated?

Solution: There are 26 ways of choosing the first letter, 25 ways of choosing the second letter, and 24 ways of choosing the third letter; thus there are 26.25.24 = 15,600 ways of choosing the three letters. Using the formula of permutations, we have ²⁶P₃ = 26.25.24 = 15,600