The number of the words that can be formed using all the letters of the word BRAIN such that it starts with R and but does not end with A.

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Solution

The correct option is A 18
Since the first place of the word always starts with R and last place is not A. The last place can be filled by any one of the remaining three letters. The remaining 3 places can be filled with 3 letters in $3!$ ways.
Therefore, total number of words = $3 \times 3! = 18$ .

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The number of the words that can be formed using all the letters of the word BRAIN such that it starts with R and but does not end with A.

The correct option is A 18Since the first place of the word always starts with R and last place is not A. The last place can be filled by any one of the remaining three letters. The remaining 3 places can be filled with 3 letters in 3! ways.Therefore, total number of words = 3×3!=18.