Question

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

Answer 1

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