At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer: 720
============================================================
Explanation:
The number 8 from "8 year old boy" can be completely ignored. In my opinion, this is an (un)intentional distraction on your teacher's part.
There are 6 toys to arrange. The order is important.
- For the first slot, there are 6 choices.
- Then the second slot has 5 choices (we cannot have a toy occupy more than one slot at a time).
- The third slot has 4 choices, and so on.
We have this countdown: 6,5,4,3,2,1
Those values multiply out to 6*5*4*3*2*1 = 720
There are 720 ways to arrange the 6 different toys. Order matters.
---------------------
An alternative approach is to use the nPr permutation formula with n = 6 and r = 6. We use a permutation because order matters.
The nPr formula is
[tex]_{n} P _{r} = \frac{n!}{(n-r)!}\\\\[/tex]
where the exclamation marks indicate factorial. For example, 6! = 6*5*4*3*2*1 = 720.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
