A blindfolded man has a heap of 10 grey socks , 10 brown socks and 10 black sock

Question

A blindfolded man has a heap of 10 grey socks , 10 brown socks and 10 black socks in a drawer.

a) How many must he select in order to guarantee that there is at least a pair of different colors?

b) how many must he select in order to guarantee that, among them, there is at least a pair of different colors?
A blindfolded man has a heap of 10 grey socks , 10 brown socks and 10 black socks in a drawer.

a) How many must he select in order to guarantee that there is at least a pair of different colors?

b) how many must he select in order to guarantee that, among them, there is at least a pair of different colors?

Explanation / Answer

A blindfolded man has a heap of 10 grey socks , 10 brown
socks and 10 black socks in a drawer.

a) How many must he select in order to guarantee that there is at least a pair of different colors
he has to select 11 socks

bacause in worst case assume he selected 10 greys then automatically 11th one will be either brown or black.

so we got pair of different colour.

b) how many must he select in order to guarantee that, among them, there is at least a pair of different colors?

now for exmaple assume we got 10 grey and 1 black.

he has to select 11 socks in worst case

bacause in worst case assume he selected 10 greys then automatically 11th one will be either brown or black.

so we got pair of different colour.

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