Question

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?

Answer 1

`13`

Explanation:

GIVEN: 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.

TO FIND: 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.

SOLUTION:

Total number of red pencils
`=10`

Total number of blue pencils
`=8`

Total number of green pencils
`=8`

Total number of yellow pencils
`=4`

if we pick
`12` pencil, there can be
`3` pencil of each color

`\therefore` Least number of pencils we have to take in order to ensure that we get at least
`4` pencils of the same color is
`13`.