Question
Mathematics Question on permutations and combinations
The number of ways to distribute 20 chocolates among three students such that each student gets atleast one chocolate is
A
22C2
B
19C2
C
19C3
D
22C3
Answer
19C2
Explanation
Solution
let x, y, z are number of chocolates three students get
x + y + z = 20; x, y, z ≥ 1
Therefore, the number of ways is 19C2