JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

1 of 1

Application +4 | -1

The sides

AB, BC, CA

of a

\Delta ABC

have 3, 4, 5 interior points, respectively on them. Total number of triangles that can be formed using these points as vertices, is equal to

View answer and explanation

Correct option: D

205

Option D (205) is correct because the total number of triangles is calculated by subtracting the number of collinear points from the total number of ways to choose 3 points from the 12 interior points:

{}^{12}C_3 - {}^3C_3 - {}^4C_3 - {}^5C_3 = 205

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