Question

How many four-letter words can be formed by using the letters in facetious? There are nine letters

available, and each one can be used at most once per word.

Answer 1

Explanation:

To find the number of four-letter words that can be formed using the letters in facetious, you can use the combination formula:

nCr = n! / (r! (n - r)!)

In this case, n is the total number of letters available (9) and r is the number of letters per word (4). Therefore, the number of four-letter words that can be formed is:

nCr = 9! / (4! (9 - 4)!) = 9! / (4! 5!) = (9 x 8 x 7 x 6) / (4 x 3 x 2 x 1) = 126

Therefore, there are 126 four-letter words that can be formed using the letters in facetious.