With your equation you get:
2. Divide through by n!. Cross-multiply and you'll get:
3. Cancel equal factors and you'll get:
and that's the equation Plato has posted in his post (and that's what you should have got because you know what n choose k means)
4. This is a quartic equation in n. By first inspection you get n = -1 as a solution. But since this solution isn't valid.
You'll get the solution by comparison of the factors. And that's your turn.
I've never used that formular when solving these equations. Take for example 10 choose 7. I just do 10! / 7! / 3! and I get 120
and for example 20 choose 5 = 20! / 5! / 15! = 15,504
I don't know how to use that formular to answer these questions :/
with the values of your 1st example:
Instead of using fixed values your equation (from your 1st post) contains a variable n. So you have to transform the given equation (which is only possible using the general form) such that you are able to determine a value for n. That's what I've done for you. Now go ahead and solve for n.
Actually this is a vary simple question.
In , we look at it and see at once .
To understand why, one has to understand how works.
It is easy to prove that
So if then or .
Ok so here I see how you have come to 15, just add the two numbers together, I'm not all that familiar with mathematic notation, what does the . mean between 22.214.171.124 and the thing that throws me off is you're saying N - 5 or whatever
So I can put this into the formular which would look like this
But if I just said
I don't understand your formular, I'm really bad at reading formulars
P.S That formular still does not make sense to me... in my calculator I type, 10! divided by 7! divided by 10 - 7!
I don't think I'm reading the formular correctly
Also, the word is "formula," not "formular."