U3 Permutations and Organized Counting

Question 1

combinatorics

Answer 1

branch of math that deals with ideas and methods for counting

Question 2

Multiplicative Counting Principle

Answer 2

• if a task has stages of separate choices where the first stage has m choices, the second stage has m choices, the third stage has p choices
• the total number of choices is m x n x p
• “and” “then”

Question 3

additive counting principle

Answer 3

• if one mutually exclusive action can occur in m ways, another in n ways, and another in p ways
• total number of ways these events can occur is m+n+p
• “or”

Question 4

what does factorial indicates

Answer 4

the multiplication of consecutive decreasing natural numbers

Question 5

counting and probability problems usually involves…

Answer 5

the product of consecutive natural integers

Question 6

general factorial rules

Answer 6

1. n(n - 1)! = n!
2. n! / (n - 1)! = n

Question 7

falling factorials are

Answer 7

partial factorials which terminate early

Question 8

Pascal’s Triangle

Answer 8

array of numbers shown in a triangular patternq

Question 9

who made pascal triangle

Answer 9

• Blaise Pascal (1600s)
• French mathematician at 13

Question 10

the first and last terms in each row of pascal’s triangle are always

Answer 10

1