Difference between revisions of "2023 WSMO Speed Round Problems/Problem 3"
(Created page with "==Problem== There are 6 pairs of socks for each color of the rainbow (red, orange, yellow, green, blue, indigo, violet) in a sock drawer. How many socks must be drawn from t...") |
|||
Line 4: | Line 4: | ||
==Solution== | ==Solution== | ||
+ | There are <math>6\cdot2\cdot6 = 72</math> non-red socks. Thus, a pair of red socks is guaranteed after <math>72+2 = \boxed{74}</math> socks have been drawn. | ||
+ | |||
+ | ~pinkpig |
Latest revision as of 11:06, 12 September 2025
Problem
There are 6 pairs of socks for each color of the rainbow (red, orange, yellow, green, blue, indigo, violet) in a sock drawer. How many socks must be drawn from the drawer to guarantee that a pair of red socks have been drawn?
Solution
There are non-red socks. Thus, a pair of red socks is guaranteed after
socks have been drawn.
~pinkpig