Permutations And Combinations Question 103

Question: On the occasion of Deepawali festival each student of a class sends greeting cards to the others. If there are 20 students in the class, then the total number of greeting cards exchanged by the students is

Options:

A) $ ^{20}C_2 $

B) $ 2\ .{{\ }^{20}}C_2 $

C) $ 2\ .{{\ }^{20}}P_2 $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ 2\ .{{\ }^{20}}C_2 $ {Since two students can exchange cards each other in two ways}.