How many six-letter words can be formed from the word SQUARE if no letter is repeated?

(Note: In the concepts of permutation and combination, a word is defined as any string of letters that may or may not have a corresponding meaning in the dictionary.)

Solution: Observe that a six-letter word is to be formed using the six letters S, Q, U, A, R, and E. As a shortcut, we can apply factorial notation to solve this kind of problem.

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720






Hence, there are 720 six-letter words that can be formed from the word SQUARE if no letter is to be repeated.

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