Given: 5 sets and 1 set with 3 balls
so total balls =15
, and in all the sets only 1 ball is different from others, so 5 balls r different , so we have to pick more than 5.
now we have 10 balls remaining .it has clearly mentioned that only 1 ball in each set is different , means remaining balls have to repeat in any one of the 5 sets.in the worst scenario one ball will repeat at only one place . so again we can pick 5 balls which can be of different colors. but now,when we pick the 11th ball then one of the pair will be of same color.
ex- red ,green, blue-> set1
red ,black ,gray->set2
black ,pink ,purple ->set3
green,white,yellow->set4
pink,white,orange->set5
now in 1 time we have taken blue,gray,purple,yellow and orange. all r from different sets.
next time we choose red ,black, green ,pink and white now too we r able to pick it with different colors. total balls till now are 10 but when we pick any of the 11th ball it will be of same color .
so answer should be optin .D