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11. Find the number of unique permutations of the letters in the word CARDINALS w

User Srecnig
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1 Answer

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Given the word:

CARDINALS

The word has 9 letters.

To find the unique permutations of the letters, we have:

First check for the letters that appears more than once.

Letter A appeared twice

Therefore, the permutation is:


_nP_r=(n!)/((n-r)!)=(9!)/((9-2)!)=(9!)/(7!)


\begin{gathered} =(9\ast8\ast7!)/(7!)\text{ } \\ \\ \text{ = 9}\ast8\text{ = }72 \end{gathered}

ANSWER:

72

User Jonhtra
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