How many triangles in the picture puzzle | Here is the answer to the tricky question

Coronavirus outbreak has h an ermous effect on world. number of people getting affected by it has been increasing despite world being in lockdown. In this tough time, people have been spending ir time on social media to keep in touch with ir friends and family. re has been a trend among people to send each or puzzles and quizzes to keep each or entertained during se tough times. One such puzzle that has been trending on social media is how many triangles in picture puzzle. This is one of challenging puzzles for math lovers. Take a look at question and answer to how many triangles in picture puzzle.

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How many triangles in picture puzzle

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How many triangles in picture answer 

• So, re are 8 lines in picture.
• A triangle has 3 lines, refore  equation will be 8 choose 3. That is also written as 8C3 in format of nCr or nCk.
• w answer to 8C3 = 8*7*6/(3*2*1) = 56 but in im, re are 6 lines where 3 lines coincide (6 ways of picking 3 lines removed) and a point where 4 lines coincide (4 ways of picking 3 lines removed, as re are 4 ways of choosing 3 lines among those 4 lines). You need to keep in mind that a triangle cant be me when 3 lines coincide.
• Next, re are two sets of pairs of lines which do t meet. For each pair, choosing two lines of pair and picking any or line will t make a triangle. So 6 ways of choosing 3 lines removed for each pair.
• So if we subtract 6, 4, and 2 from equation n equation will be 8C3 - 6 - 4 - 2*6  that is equal to 56 - 6 - 4 - 12 = 34. 
• Hence re are 34 triangles in picture.

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