I visited a beautiful flower garden yesterday and counted exactly 50 flowers. Each flower was either white or orange, and the flowers were not all the same color. My friend made the following observation: No matter which two flowers you might have picked, at least one was bound to be white. From this can you determine how many were white and how many were orange?
A) 1 orange flower, 49 white flower(s)
B) 1 white flower, 49 orange flower(s)
C) 32 orange flower(s), 18 white flower(s)
D) 24 orange flower(s), 26 white flower(s)
E) 26 orange flower(s), 24 white flower(s)

Question

I visited a beautiful flower garden yesterday and counted exactly 50 flowers. Each flower was either white or orange, and the flowers were not all the same color. My friend made the following observation: No matter which two flowers you might have picked, at least one was bound to be white. From this can you determine how many were white and how many were orange? ​
A) 1 orange flower, 49 white flower(s)
B) 1 white flower, 49 orange flower(s)
C) 32 orange flower(s), 18 white flower(s)
D) 24 orange flower(s), 26 white flower(s)
E) 26 orange flower(s), 24 white flower(s)

Quizplus · Accepted Answer

Given the observation that among any two flowers picked, at least one is white, it implies there can be at most one orange flower to satisfy this condition. Thus, there must be 49 white flowers and 1 orange flower.

I Visited a Beautiful Flower Garden Yesterday and Counted Exactly