SATHEE: Permutations And Combinations Question 62

Permutations And Combinations Question 62

Question: The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is [Roorkee 1989; BIT 1989; MP PET 1995;Pb. CET 1997, 98; Roorkee 2000; DCE 2002; AMU 2005]

Options:

A) 185

B) 175

C) 115

D) 105

Show Answer

Answer:

Correct Answer: A

Solution:

Required number of ways $ ={{}^{12}}C_3{{-}^{7}}C_3 $ $ =220-35=185 $ .

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Permutations And Combinations Question 62

Question: The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is [Roorkee 1989; BIT 1989; MP PET 1995;Pb. CET 1997, 98; Roorkee 2000; DCE 2002; AMU 2005]

Options:

Answer:

Solution:

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