Answer:
[tex]13[/tex]
Step-by-step explanation:
GIVEN: There are pencils in the box: [tex]10[/tex] red ones, [tex]8[/tex] blue, [tex]8[/tex] green, [tex]4[/tex] 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 [tex]4[/tex] pencils of the same color.
SOLUTION:
Total number of red pencils[tex]=10[/tex]
Total number of blue pencils[tex]=8[/tex]
Total number of green pencils[tex]=8[/tex]
Total number of yellow pencils[tex]=4[/tex]
if we pick [tex]12[/tex] pencil, there can be [tex]3[/tex] pencil of each color
[tex]\therefore[/tex] Least number of pencils we have to take in order to ensure that we get at least [tex]4[/tex] pencils of the same color is [tex]13[/tex].