How many rectangles are there? Can you count?

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This is a math puzzle video by TKS teaching about counting rectangles in given picture. Many of you may count properly by counting a lot or fail to count. This question is solved by an easy formula given in the video. Subscribe TKS teaching for more upcoming math puzzles.

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I solved it differently.
This is a 4x3 triangle, meaning there are 5 vertical lines and 4 horizontal lines. We have to choose 2 of each in order to make a rectangle. 5 choose 2 is 10, and 4 choose 2 is 6. By the fundamental counting principle, there are 6x10 = 60 rectangles.

mercilessanim
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Wonderful!! . The most easiest formula to solve it. I am impressed.

mathgeniusgermany
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Wow it's amazing solution thank you so much

sachinmanolia
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This is the best vid I've seen because I understand it clearly. I just can't understand other videos.
Thank you for this!

AA-bhiu
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thank you for this! didnt get how our prof got that answer and now i do

marianneesguerra
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That's a very amazing and very helpfulful method... thank you sir😊

Sonai-kd
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What if we have a fig with same number of columns and rows

sumeetpawar-xeiq
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There is a smarter and easier way, I'm just a 10th grader so correct me if I'm wrong.

Find number of horizontal lines, in this example its 4
Find number of vertical lines, in this case its 5
Then use the formula (h(h-1)×v(v-1))/4
So (5×(5-1)×4(4-1))/4

Reply if you want me to explain why this works

nexusmas
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can you explain in english ive watched it 4 times im still none the wiser

richardjohn