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There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that guarantees there will be at least two balls of the same colour? One cannot see the colour of the balls until they are picked.

1. 4
2. 15
3. 5
4. 2

Correct answer: 4

Solution

With 3 colours, the worst case is picking one of each (3 balls) all different; the 4th ball must repeat a colour. So N = 4 guarantees two of the same colour. Stored answer 2 is wrong.

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