How many 4 letter words can be formed from the word "CORONAVIRUS"
Explanation:
"CORONAVIRUS" has 7 distinct alphabets and two pairs of repeated characters ", O" and "R". There are three possible cases for creating 4 letter words. 1. Two letters are "O" and the other two are "R". The total number of arrangements = 4!2!×2! = 6 2. Two of the letters are either "O" or "R" and the others are distinct. The total number of arrangements = 2C1 × 8C2 × 4!2! = 2 × 28 × 12 = 672 3. All four letters are distinct. The total number of arrangements = 6C4 × 4! = 3024 Thus, the total number of four-letter words possible = 6 + 672 + 3024 = 3702. Hence, the answer is option C.
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