Question

Four boys picked $30$ apples. The number of ways in which they can be divided them if all the apples are identical, is

• A. $5630$
• B. $4260$
• C. $5456$
• D. $Noneofthese$

Answer 1

The correct option is C $5456$

$x_1+x_2+x_3+x_4=30$

$\Rightarrow$ No. of ways $={{}^{33}C}_3$

$=\frac{33\times 32\times 31}{3\times 2}$

$=16\times 11\times 31$

$=5456.$

Hence, the answer is $5456.$