![]() ![]() So there's going to be 6ĭifferent possibilities for this slot right there. Well, we have 6 possible colors,ġ, 2, 3, 4, 5, 6. There, that first slot? We haven't pickedĪny colors yet. Let's think about how many different ways we canĪbout, how many ways can we pick a color for that slot right So this would count as 2ĭifferent codes right here, even though we've picked Same 4 colors, we're going to assume that these are 2ĭifferent codes, and that makes sense because we'reĭealing with codes. We're going to assume that theseĪre not the same code. That this- that that is different than green, red, Going to assume that blue, red, yellow and green, How many 4-color codesĬan be made if the colors cannot be repeated? And since these are codes, we're Let's see, we're choosing from- how many colorsĪre there? There's 1, 2, 3, 4, 5, 6 colors,Īnd we're going to pick 4 of them. Paragraph in the beginning doesn't even matter. How many 4-color codesĬan be made if the colors cannot be repeated? To some degree, this whole Green, but I'll underline it in green again. Let me underline these in the actual colors- blue, yellow, Whether the colors are correct and in the Remember that the first number is the items you can choose from, and the second is the limit that you were given.ĭifferent colors is created by one player, the codemaker,Īnd the other player, the codebreaker, tries to ![]() To figure out the answer above, all you have to do is press 6, then nCr, then 4, and enter, and you should end up with 360. In your scientific calculator, there is a button that marks nCr, and nPr, each referring to combination and permutation respectively. This would be 360 combinations that you can make using 4 items from 6 items. The 2*1 would cancel, so you are left with 6*5*4*3. Using the numbers from the video, it would be 6!/(6-4)!, which would be 6!/2!, which would be 6*5*4*3*2*1/2*1. The process to figure out the number of choices is t!/(t-l)!, where 't' is the number of things you can choose from and 'l' is the limit of things you can choose. In the video above, the limit would be 4 and the amount of things to choose from is 6. The combinations would be depending on the limit of things you can choose, and how many things you have to choose from. ![]() If we neglected order, then we would be using combination. ![]()
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