Permutations And Combinations Question 77

Question: Given six line segments of lengths 2, 3, 4, 5, 6, 7 units, the number of triangles that can be formed by these lines is [AMU 2002]

Options:

A) $ ^{6}C_3-7 $

B) $ ^{6}C_3-6 $

C) $ ^{6}C_3-5 $

D) $ ^{6}C_3-4 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • No. of triangles = $ ^{6}C_3-6 $ .