How many different words, with or without meaning, can be formed by us

How many different words, with or without meaning, can be formed by using the letters of the word COVID?

60
150
100
120
This question was previously asked in
UPSC CAPF – 2021
The correct answer is D) 120.
The word COVID has 5 letters: C, O, V, I, D. All five letters are distinct. To find the number of different words that can be formed by using all the letters, we need to find the number of permutations of these 5 distinct letters. The number of permutations of ‘n’ distinct objects is given by n!.
In this case, n = 5.
Number of words = 5! = 5 × 4 × 3 × 2 × 1.
5! = 20 × 6 × 1 = 120.
This is a basic problem involving permutations. If there were repeated letters in the word, the formula would be adjusted by dividing by the factorial of the counts of repeated letters.