Asked by kaykay
how do you use pascals triangle in everyday life or nature?
Answers
Answered by
MathMate
The pascal triangle can be used to solve counting problems.
Let's say we have 6 students and we need to choose one student to do a choir. There are six ways to make the single choice.
If we need two students to do the play, we have 6 choices for the first student, and 5 for the second to make 30 choices. Out of the 30 choices, we have made each choice twice, because we could have chosen students A & B and another time B & A. So there are really 15 choices.
If we continue this way, we would come up with the numbers 6, 15, 20, 15, 6 for the number of ways of choosing 1, 2, 3, 4 and 5 students respectively.
If we add the single choices of choosing no students or all of the students, we have the complete 6th line of the Pascal's triangle of:
1 6 15 20 15 6 1
Let's say we have 6 students and we need to choose one student to do a choir. There are six ways to make the single choice.
If we need two students to do the play, we have 6 choices for the first student, and 5 for the second to make 30 choices. Out of the 30 choices, we have made each choice twice, because we could have chosen students A & B and another time B & A. So there are really 15 choices.
If we continue this way, we would come up with the numbers 6, 15, 20, 15, 6 for the number of ways of choosing 1, 2, 3, 4 and 5 students respectively.
If we add the single choices of choosing no students or all of the students, we have the complete 6th line of the Pascal's triangle of:
1 6 15 20 15 6 1