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There are 10 points in a plane, out of which 5 are collinear. Find the number of straight lines formed by joining them.

A) 36
B) 45
C) 30
D) 35

Correct Answer:

A) 36

Description for Correct answer:
Required number of straight lines

= \( nC_2 ï¿½ mC_2 + 1 \)

Here, n = 10, m = 5

= \( 10C_2 ï¿½ 5C_2 + 1 = 45 ï¿½ 10 + 1 = 36 \)

Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination

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