how many different words can be made from the letters of the

how many different words can be made from the letters of the word “ABRACADABRA”

Solution

The given word consists of 11 letters .so it can be arranged in 11! ways

In 11 letters

the letter A 5 times

      letter B 2 times

      letter R 2 times

      letter C 1 time

   letter D 1 time

Thus the different possible words are

11!/(5!*2!*2!*1!*1!)

=83160

83160 different words can be made from the letters of the word “ABRACADABRA”