How many anagrams can be created from the word 'accommodate' if the new words do not need to be meaningful?
Question
How many anagrams can be created from the word 'accommodate' if the new words do not need to be meaningful?
Solution
To calculate the number of anagrams for the word 'accommodate', we need to use the formula for permutations of a multiset:
n! / (r1! * r2! * ... * rk!)
where:
- n is the total number of letters,
- r1, r2, ..., rk are the numbers of each individual letter.
The word 'accommodate' has 10 letters in total.
- 'a' and 'o' each appear twice,
- 'c' and 'm' each appear twice,
- and the letters 'd', 't', and 'e' each appear once.
So, we substitute these values into the formula:
10! / (2! * 2! * 2! * 2! * 1! * 1! * 1!)
Calculating this gives us the total number of anagrams for 'accommodate'.
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