Permutations And Combinations Question 96

Question: The value of $ ^{15}C_3{{+}^{15}}C _{13} $ is [MP PET 1983]

Options:

A) $ ^{16}C_3 $

B) $ ^{30}C _{16} $

C) $ ^{15}C _{10} $

D) $ ^{15}C _{15} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ ^{15}C_3{{+}^{15}}C _{13}{{=}^{15}}C_3{{+}^{15}}C_2{{=}^{16}}C_3 $ .