Four boys picked up 30 mangoes. The number of ways in which they can divide them if all mangoes be identical, is

Question

Four boys picked up 30 mangoes. The number of ways in which they can divide them if all mangoes be identical, is (A) 5456 (B) 3456 (C) 5462 (D) None of these

Tardigrade Admin · Accepted Answer

Clearly, 30 mangoes can be distributed among 4 boys such that each boy can receive any number of mangoes. Hence, total number of ways = 30+4-1 C4-1= 33 C3 =(33.32 .31/1.2 .3)=5456

Q. Four boys picked up $30$ mangoes. The number of ways in which they can divide them if all mangoes be identical, is

5456

3456

5462

None of these

Clearly, $30$ mangoes can be distributed among $4$ boys such that each boy can receive any number of mangoes.
Hence, total number of ways $=^{30 + 4 - 1} C_{4 - 1} =^{33} C_{3}$
$= \frac{33.32.31}{1.2.3} = 5456$

Q. Four boys picked up 30 mangoes. The number of ways in which they can divide them if all mangoes be identical, is