There are pencils in the box: 10 red ones, 8 blue, 8 green, 4 yellow. Let us take, with eyes closed, some number of pencils from the box. What is the least number of pencils we have to take in order to ensure that we get at least 4 pencils of the same color?

Step-by-step explanation:

GIVEN: There are pencils in the box: red ones, blue, green, yellow. Let us take, with eyes closed, some number of pencils from the box.

TO FIND: What is the least number of pencils we have to take in order to ensure that we get at least pencils of the same color.

SOLUTION:

Total number of red pencils

Total number of blue pencils

Total number of green pencils

Total number of yellow pencils

if we pick pencil, there can be pencil of each color

Least number of pencils we have to take in order to ensure that we get at least pencils of the same color is .