@magnificenthorse

Hi! This is a very interesting question, and I'm not really sure how to do it, but when I cut the picture out and played with it, I seemed to get 9 too.

I think it's because when you do Step 1, you don't get rid of the top half, instead, what remains is the top half. WechatIMG3.jpeg WechatIMG4.jpeg
(BTW: I labeled both sides of the paper with the numbers. so like, on the back of the 1 I wrote another 1.)

Same for Step 2, I think. What you get is the bottom row.
For Step 3, I get 12 and 11 from the third row.
And lastly, for Step 4, I get 9.
WechatIMG5.jpeg
WechatIMG6.jpeg
WechatIMG7.jpeg

-1x-2+3-4+(5x6-7^2)- -18=?

@versatilemole i could give as many solutions as i can to this problem, and then people can add on solutions and count how many ways we can make 100.

Not really 🙂 Notice how Elmo has three blocks. It wouldn't be $$\binom{9}{3}$$ because you use a separate block every time so you would have to choose the first block, then the second, and so on. Try to see where you can go from there 😉

Note: Sorry this is so late I doubt you're active on this forum anymore.

@knowledgeabledog Thanks!

@rationaltiger Correct!

=1+11+111 times 68
=12+548
=560

24+3/4(24)(2)+(3/4^2)(24)(2)+(3/4^3)(24)(2)+.....
(The x2 is because the ball drops the same distance up and down)

This is an infinite arithmetic sequence.

Let S = 3/4(24)(2)+(3/4^2)(24)(2)+... = 36+(3/4)(36)+(3/4^2)(36)+....
So 4/3S=48+36+(3/4)(36)+....
So 4/3S-S=1/3S=48
So S=144
So S+24=168?

MISSPELL has 8 letters with 2 S’s and two L’s. 8!/(4!2!) = 10,080 arrangements, but one of these is the correct spelling, so there are 10,079 misspellings in total.

@quacker88 Thanks for your help!

@quacker88 Alright! Thanks for the answer!