Question Detail
Question
How many different words can be formed by using all the letters of the word “SCHOOL”?
Correct Answer
Option C is the correct answer.
Detailed Explanation
The word SCHOOL has 6 letters. However, the letter 'O' appears twice. To find the number of distinct permutations of a word with repeated letters, we use the formula n! / (p1! * p2! * ...), where n is the total number of letters and p1, p2, ... are the frequencies of the repeated letters. Here, n=6, and the letter 'O' repeats 2 times (p1=2). So, the number of different words is 6! / 2! = (6 * 5 * 4 * 3 * 2 * 1) / (2 * 1) = 720 / 2 = 360.
Hint
Account for repeated letters in the word when calculating permutations.