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Question: Answered & Verified by Expert
The number of 4 letter words that can be formed with the letters in the word EQUATION with atleast one letter repeated is
MathematicsPermutation CombinationTS EAMCETTS EAMCET 2016
Options:
  • A 2400
  • B 2408
  • C 2416
  • D 2432
Solution:
1833 Upvotes Verified Answer
The correct answer is: 2416
Total number of ways $=8^4$
$\therefore$ Required number of ways of 4 letter words that can be formed by the word 'EQUATION' when atleast one letter repeated is
$$
\begin{aligned}
& =8^4-{ }^8 P_4=4096-1680 \\
& =2416
\end{aligned}
$$

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