SATHEE: Permutations And Combinations Question 182

Permutations And Combinations Question 182

Question: Number of ways in which Rs. 18 can be distributed amongst four persons such that nobody receives less than Rs. 3 is

Options:

A) $ 4^{2} $

B) $ 2^{4} $

C) 4!

D) none of these

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Suppose $ i^{th} $ person receives Rs. $ x _{i};i=1,2,3,4 $ Then, $ x_1+x_2+x_3+x_4=18, $ where $ x _{i}\ge 4 $ Let $ y _{i}=x _{i}-4,i=1,2,3,4. $ Then, $ y_1+y_2+y_3+y_4=6 $ The total number of ways is equal to number of solutions of the above equation, which is given by $ ^{6+4-1}{C _{4-1}}{{=}^{9}}C_3=84. $

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Permutations And Combinations Question 182

Question: Number of ways in which Rs. 18 can be distributed amongst four persons such that nobody receives less than Rs. 3 is

Options:

Answer:

Solution:

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