Three pairs of gloves - a red pair, a blue pair, and a green pair-are in a drawer. If the gloves are removed at random without returning any to the drawer, what is the minimum number that must be removed in order to guarantee having a matched pair of gloves?

4

Step-by-step explanation:

Given that three pairs of gloves - a red pair, a blue pair, and a green pair-are in a drawer. The gloves are removed at random without returning any to the drawer.

We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves

No of different colours = 3 (red, blue, green)

Hence no of gloves that must be removed = 3+1

If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.

So a pair of same colour would be obtained

Answer is 4