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Question

Question: A dictionary is printed consisting of 7 lettered words only that can be made with the letters of wor...

A dictionary is printed consisting of 7 lettered words only that can be made with the letters of word CRICKET. If words are printed in the alphabatic order as in the dictionary then the number of words before the word CRICKET, is –

A

530

B

531

C

480

D

481

Answer

530

Explanation

Solution

Sol. C R I C K E T

0×62\frac{0 \times \begin{matrix} 6 \end{matrix}}{\begin{matrix} 2 \end{matrix}}+(1×5\begin{matrix} 5 \end{matrix})+(2×4\begin{matrix} 4 \end{matrix})+(8×5\begin{matrix} 5 \end{matrix})+(1×2\begin{matrix} 2 \end{matrix})+(0×1\begin{matrix} 1 \end{matrix}) 1×0\begin{matrix} 0 \end{matrix}

Rank = 0 + 480 + 48 + 0 + 2 + 0 + 1 = 531

words before CRICKET = 531 –1 = 530