Question
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How many different four-letter
permutations can be formed using
four letters out of the first twelve in
the alphabet?

Ask by Davies Sanders. in the United States
Jan 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Se pueden formar 11,880 permutaciones diferentes de cuatro letras utilizando las primeras doce letras del alfabeto.

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The Deep Dive

To find the number of different four-letter permutations that can be formed using four letters from the first twelve letters of the alphabet (A-L), you would use the permutation formula , where is the total number of items to choose from and is the number of items to choose. In this case, and .
So, the calculation is . Therefore, there are 11,880 different four-letter permutations possible.
If you want to explore this concept further, try figuring out how many combinations you can make instead of permutations. Combinations don’t care about the order of the letters, which can lead to a fascinating comparison of how many different ways you can arrange the same sets of letters.
Often, people confuse combinations with permutations and mistakenly think they’re the same. Remember, permutations are all about the order (like arranging a race), while combinations are about the selection (like choosing your team). Keep that in mind to avoid mixing them up next time you’re in a tough spot!

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