A) \[{{4}^{2}}\]
B) \[{{2}^{4}}\]
C) 4!
D) none of these
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 \[{{y}_{i}}={{x}_{i}}-3,i=1,2,3,4.\]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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