5 choose 3 This is a topic that many people are looking for. thetruthaboutdow.org is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, thetruthaboutdow.org would like to introduce to you 5C3 or 5 choose 3. Following along are instructions in the video below:
“Is stephanie from statisticshowtocom. And in this video. I will show you an example of of using combinations. Specifically we re going to look at 5 c.
3. Now the stands for combinations. But people sometimes write it as 5 choose 3. So what is a combination it s just a number of ways you can choose items from a list say.
I had a box of fruit with an apple an orange. A pear. A plum and a banana that s 5 items if i wanted to choose 3. I could choose an apple an orange and a pear or i could choose an apple and an orange and a plum.
Quite a few different combinations of 3 items. I could choose from that list of 5 this can get very tedious to write out so there is a formula it s a shortcut. This is the combinations formula. We have n.
Which is the number of items in this case..
It s 5 r. Is the number of items. We re choosing and this here is a factorial. A factorial is basically you take the number let s say we have 3 factorial.
And you multiply down to 1. So 3 times 2 times 1 3. Factorial would equal. 6.
If you saw four factorial. It would be 4 times 3 times 2 times 1. And that would equal 24. So let s say we had this box of 5 and we want to find out how many ways we could choose 3 from this box or my combinations formula would equal n.
Which is 5 the number of items factorial over r. We re choosing 3 3. Factorial. We ve got n.
5. Minus r. R. Is 3.
And that is all factorial. 5 minus. 3. Is 2.
So that simplifies the expression. A little i ll end up with 5 factorial. 3. Factorial.
And then just 2 factorial. Now as this factorial is counting down to 1. I m going to need to expand this it s like 5 4. 3.
1. This is all going to be over 3 factorial. 3 times 2 times. 1.
And that is going to be multiplied. By 2 factorial. 2 times. 1.
Well 5 times. 4 times. 3 times 2 times. 1.
Is 120 3 times 2 times. 1 is 6. And i m going to multiply that by 2 times 1 2. So it s 120 divided by 12 and that equals.
This is the solution to this particular problem. If you have a box of 5 items and you want to choose 3. Then there are 10 different ways that you can choose the items. If you want you to have a list of all the items you can find this combinations generator on statisticshowtocom.
It s on the permutation calculator and combination calculator page. You just scroll down until you find combinations generator type in your items. I ve got five items. I m choosing three the order doesn t matter because it s a combination and the items can t repeat.
If you pick a pair out of the basket. There are no pairs left show. The possibilities and here s a list of ten possibilities. That s an example of combinations you can find more examples and videos on our website.
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