Question 136

Which of the following words can be written in 120 different ways ?

Solution

NOTE :- If the length of a word is '$$x$$' and all the alphabets are different, then it can be written in $$x$$! ways.

where $$x$$! = $$(x) * (x-1) * (x-2) * (x-3) * ..... * 2 * 1$$

120 = 5 * 4 * 3 * 2 * 1 = 5!

Thus, if a word is of 5 alphabets, and all of them are different, it can be written in 120 ways.

The only option which matches this condition is WATER.

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