Find the number of 4 letter words with or without meaning, which can be formed out of the letters of the word 'FATE' where the repetition of the letter is not allowed.

Explanation

There are as many words as there are ways of filling in 4 vacant places by 4 letters, keeping in mind that the repetition is not allowed. `1^(st)` place can be filled in 4 different ways. Following which `2^(nd)` place can be filled by the remaining 3 letters in 3 different ways. Following which `3^(rd)` place can be filled by the remaining 2 letters in 2 different ways. Following which `4^(th)` place can be filled in 1 way.
`therefore` By fundamental principle of counting the places can be filled in `4xx3xx2xx1=24` ways
`therefore` Required number of words = 24