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If 7 points out of 12 are in the same st...

If 7 points out of 12 are in the same straight line, then the number of triangles formed is

Text Solution

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0 point on triangle=`.^5C_3=10`
1 point on triangle=`.^7C_1*.^5C_2=70`
2 point on triangle=`.^7C_2*.^5C_1=105`
Total triangle formed=10+70+105=185.
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