Astudent is creating a poster for science fair and wants to use three differnt colors of construction paper, and four differnt colored pens to make the poster. how many differnt possibilities does the student have for pen and color combination on the poster?

The student has 12 different possibilities.

Step-by-step explanation:

The study of mathematical possibilities is linked to combinatorial analysis, which has great applicability in everyday life, addressing various fields of study, such as computer programming, experimentation, molecular biology, economics, statistics, for the proper functioning of a company, studies. among others. It sounds pretty complicated, but it's actually quite simple.

In the case of the student exposed in the question, we know that he has four colored pens and, in addition, he wants to use three different colors on his science fair poster. To know how many different possibilities the student has for the combination of pen and color on the poster, we must multiply the value of the variables (which in this case not 4 colored pens and 3 different colors) so we should multiply 3x4 and we get the result 12. So, The student has 12 different possibilities of pen and color matching on the poster.