Permutation Combination Question 8

Question 8 - 2024 (31 Jan Shift 2)

The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is

(1) 406

(2) 130

(3) 142

(4) 136

Show Answer

Answer (4)

Solution

After giving 2 apples to each child 15 apples left now 15 apples can be distributed in ${ }^{15+3-1} \mathrm{C}{2}={ }^{17} \mathrm{C}{2}$ ways $=\frac{17 \times 16}{2}=136$