Question:
There are 10 points in a plane, out of these 6 are collinear. If N is the number of triangles formed by joining these points. then :
There are 10 points in a plane, out of these 6 are collinear. If N is the number of triangles formed by joining these points. then :
Updated On: Mar 31, 2024
- N = 100
- 100 < N $\le$ 140
- 140 < N $\le$ 190
- N > 190
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The Correct Option is A
Solution and Explanation
$^{10}C_{3} - ^{6}C_{3}$
$= \frac{10\times9\times8}{6}- \frac{6\times5\times4}{6} = 120 - 20 = 100$
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Concepts Used:
Permutations and Combinations
Permutation:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
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- A permutation is used in many events of daily life. It is used for a list of data where the data order matters.
Combination:
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.
- Combination refers to the combination of about n things taken k at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.