How many 10 letter words can you make from the letters A,B,C,D,E,F,G and H?
Question
How many 10 letter words can you make from the letters A,B,C,D,E,F,G and H?
Solution
To determine how many 10-letter words can be made from the letters A, B, C, D, E, F, G, and H, we need to consider the following:
- Number of letters available: We have 8 distinct letters (A, B, C, D, E, F, G, H).
- Length of the word: We need to form a 10-letter word.
Since we are allowed to use each letter more than once, this is a problem of permutations with repetition.
For each of the 10 positions in the word, we have 8 choices (one for each letter).
Therefore, the total number of 10-letter words is calculated as:
Now, let's compute this:
So, the number of 10-letter words that can be made from the letters A, B, C, D, E, F, G, and H is 1,073,741,824.
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