How many single socks do we have to take out to make sure that we take out two socks with the same color?

a) How many single socks do we have to take out to make sure that we take out two socks with the same color? Solution: By the pigeonhole principle, 5 socks will suffice, but 4 will not, as we could take out a black, a white, a red, and a green sock.

What is the smallest number of socks you must take out of the drawer?

What is the smallest number of socks you must take out of the drawer in order to be certain that you have a pair that match? Solution: Three socks.

What is the number of ways to color objects with 3 colors if every color must be used at least once?

→ The number of ways to color objects with 3 colors if every color must be used at least once is = 3! = 3 * 2 * 1 = 6 ways (Ans.)

How many socks should you have in your sock drawer?

If you reach into your sock drawer without looking, how many socks would you have to pull out to find a matching pair if you had 10 red socks 10 blue socks, and 10 green socks? A minumum of two, and a maximum of four.

What is the minimum number of socks to make a color?

Here, N is 2, so N+1=3 is that minimum. No matter whether you have 2 blue socks and 2 red ones, or 500 million blue socks and 3 red ones. If you have at least two of at least one color, and at least one of each additional color, then N+1 will always be the answer.

What is the probability of drawing 2 socks from the drawer?

For each set of socks, there are 8. 8 * 7 (7 other socks to each being matched) = 56 possible combinations in each set of socks / 2 to remove duplicates = 28 possible combinations of socks in each set. 28 / 780 = 0.036 probability of drawing a pair when drawing 2 socks from the drawer. Cheers guys!

How many pairs of socks are there in a box?

For instance, consider the following example: A box contains three pairs of socks colored red, blue, and white, respectively. Suppose I take out the socks without looking at them.