Permutations And Combinations Question 146

Question: The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty five paise coins is

Options:

A) 28

B) 56

C) $ ^{37}C_6 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Since the total number of selections of $ r $ things from $ n $ things where each thing can be repeated as many times as one can, is $ ^{n+r-1}C _{r} $ . Therefore the required number $ {{=}^{3+6-1}}C_6=28 $ .