There are 8 sprinters in the Olympic 100-meter finals. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded?
Must be learning counting! If you'd pay attention in class, or at least even read/try the question, it come across as not very much of "HELP ASAP" worthy.
Let me spare you some time from doing your work, but you'll have to face the "doom" of reading my entire answer. Or else it would be done in vain. Maybe you'll use the few seconds I spared you to take one last look at that headless chicken you saw on the Internet. Maybe.
We begin placing each place. Use whatever you want, but for the headless chicken's sake, I will make a podium
____________ | |
| | | |
| | | |
| 3rd | 1st | 2nd |
You have no idea how long that took. But I'm proud of it.
Now, for some permutations, which is just a fancy way to say: "Kids, we will learn multiplication today. Why do I bother teaching 12 year olds what they learned in second grade?"
Each number is the amount of choices for each spot:
We see there are 8 choices for 1st, 7 choices for 2nd, and 6 choices for 3rd.
8 * 7 * 6 = 336
336 possible combinations, what are the odds that I will win?
Now you may go hang out with the headless chicken 🐔 <------ i found the head!