How many unique ways can the letters COOKBOOK be rearranged?

Question

asked Jul 13, 2023 111k views

1 Answer

Zeck · Answer 1 · 2023-07-17T05:41:33+0000

Answer:

840 unique ways

Step-by-step explanation:

There are 8 letters in the word COOKBOOK.

O is repeated 4 times.

K is repeated twice.

To find how many unique ways the word can be rearranged, we'll need to divide 8! by 4! and 2!;

$(8!)/(4!2!)=(40320)/(24\ast2)=(40320)/(48)=840$