Question

A man has 45 Socks in his drawer
14 identical blue,
24 identical red and
7 identical black
the light are fused and he
is completely in the dark . how many socks must be take certain that he has a pair of each colour ?​

Answer 1

The man should take out three pair of socks and each pair from each colour.

One pair from red

one pair from blue and one from black.

Answer 2

Answer:

The man must take out 3 socks out of his drawer to be sure that he has one pair of each colour.

Step-by-step explanation:

Given:

• 45 socks in the drawer.
• 14 identical blue socks.
• 24 identical red socks.
• 7 identical black socks.

So if lights are fused and room is completely dark, and in order to get one pair of each colour he must draw out 3 pairs of socks.

This way in each of his 3 draws any of the three colours, either blue, or red or black can be drawn.

So all three colours to be drawn 3 pairs must be drawn.