Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer: 24
=========================================================
Explanation:
We have 3 slots, which I'll call slot 1, slot 2, slot 3.
- For slot 1, we have 4 choices to pick from
- Then slot 2 has 3 choices since we can't reuse a letter
- Finally, slot 3 has 2 choices. We count our way down each time we move to the next slot.
Once all the slots are accounted for, we multiply the values mentioned: 4*3*2 = 12*2 = 24.
There are 24 different three-letter "words" that can be formed where any letter selected cannot be reused.
--------------
A slightly different approach:
Order matters because a "word" like BON is different from a "word" like BNO.
Since order matters, we'll use a permutation
We have n = 4 letters to pick from and r = 3 slots to fill.
Apply those values into the nPr permutation formula
[tex]_{n} P_{r} = \frac{n!}{(n-r)!}\\\\_{4} P_{3} = \frac{4!}{(4-3)!}\\\\_{4} P_{3} = \frac{4!}{1!}\\\\_{4} P_{3} = \frac{4*3*2*1}{1}\\\\_{4} P_{3} = \frac{24}{1}\\\\_{4} P_{3} = 24\\\\[/tex]
We end up with the same result as before.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.