The best way to solve questions related to Permutations and Combinations is to use the concept of Visualization.
Since, the word VERBAL has six letters, draw 6 blanks on your rough sheet.
_ _ _ _ _ _
Since the question asked for how many ways it can be rearranged, you must use Permutations. So, since there are totally 6 letters, the first blank can take all of the 6 letters.
Therefore, the first blank can be filled in 6 ways.6 _ _ _ _ _
Now, once a letter is used up for a blank, it cannot be repeated. Therefore, the second blank can take only 5 letters. 6 x 5 _ _ _ _
Similarly, the subsequent blanks can be filled one after another.
6 x 5 x 4 x 3 x 2 x 1 = 720 ways.
Many students tend to immediately calculate the answer as 6 x 6 = 36 ways.
However, this will only give you the ways in which you can form any 6 letter word (with or without meaning) using the letters of Verbal.
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