Note : n items can be distribute among p persons are ‌n+p−1Cp−1 ways. Here n=6 ice-cream p=5 types of ice-cream Each ice-cream belongs to one of the 5 ice-cream type. So chosen 6 ice-cream can be divide into 5 types of ice-cream. ∴ The number of different ways the child can buy the six ice-cream is =‌6+5−1C5−1=‌10C4 ∴ Statement −1 is false. =‌