Math Is Fun Forum

I have found a way to integrate this directly, but it is very tricky.

Oops, I post the wrong question

Let me explain conditional statement via set arguments.

If you know A is true for sure, and you can immediately infer that B is true.
A is true is sufficient condition that B is true.
We can also say that the event A is true is contained in the event B is true.
Like you are in London implies that you are in UK. But the other way around is not necessarily true.

and we can say B is necessary condition for A, for notB is in notA - you are not in UK so you are not in London.

Hope this theory make your logic class a lot easier!

Alright guys, I think I should give up.

Thank you anonimnystefy

choose 3 and choose 6, and choose between 4 and 5, multiplied by number of choosing sequence possibilities

But it is with replacement, so we have to consider 336 and 366

why (1/6)?

eigenvalues can appear more than once, as far as I know.

Tennis
Chinese Caligraphy

First, a review on Pascal's Triangle

The intuition is n already chosen from m and then add 1 to m and choose n+1 instead.  the added 1 to pool of m can be either selected with n already chosen or neglected. In the former case m choose n, the latter case m choose n+1. The two way conclude all the possible ways to choose n+1 from m+1.

5 choose 3
= 2 choose 2 + 3 choose 2 + 4 choose 2

10=1+3+6