In how many ways can you read the word "abracadabra"?
Thanks
I can read it only one way.
To determine the number of ways you can read the word "abracadabra," you need to consider two factors: the number of letters in the word and the number of repeated letters.
The word "abracadabra" contains 11 letters, including 5 distinct letters: 'a', 'b', 'r', 'c', and 'd'. Since the repeated letters, 'a' and 'r', appear twice, you need to account for their repetition.
To calculate the number of ways to arrange the letters, you can use the concept of permutations. The formula for the number of permutations of a word with n total letters, where some letters are repeated, is:
P = n! / (a! * b! * c! * ...)
Where P is the number of permutations, n is the total number of letters, and a, b, c, etc., represent the number of repetitions of each letter.
In the case of "abracadabra," there are 11 total letters (n = 11), and there are two 'a's and two 'r's (a = 2, r = 2). Therefore, the number of ways you can arrange the letters is:
P = 11! / (2! * 2!)
Calculating this:
P = (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((2 * 1) * (2 * 1))
= 39916800 / 4
= 9979200
So, there are 9,979,200 ways to read the word "abracadabra."