Question
Mathematics Question on permutations and combinations
Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word , where the repetition of the letters is not allowed.
A
22
B
24
C
26
D
28
Answer
24
Explanation
Solution
There are as many words as there are ways of filling in 4 vacant places by the 4 letters, keeping in mind that the repetition is not allowed. Thus, the number of ways in which the 4 places can be filled, by the multiplication principle, is 4×3×2×1=24. Hence, the required number of words is 24.