9.1 Fundamental Counting Principle, Permutations, & Combinations

Nate is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can Nate schedule these 2 activities?

• 13

• 42

• 14

• 5

How many distinct permutations can be formed using the letters of the word TENNESSEE?

• 3780

• 362,880

• 9

• I can't think of another way you could miss this problem so this isn't the correct answer.

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

• ₁₅C₂=105

• ₁₅P₂=210

• 15 x 2 = 30

• 100 ways

How many ways can 10 jellybeans be arranged if 3 are purple, 2 are green, 4 are yellow, and 1 is black?

• 3,628,800

• 100

• 12600

• Something else

A ____________ is an arrangement of objects in which the order IS important

• combination

• factorial

• compliment

• permutation

A ____________ is an arrangement of objects in which the order IS NOT important

• combination

• factorial

• compliment

• permutation

The ____________ of a positive integer n is the product of the positive integers less than or equal to n, and is written as n!

• factorial

• fundamental

• funkadelic

• feudalism

 $_{12}P_4$  

• 24

• 495

• 11880

• 19958400

 $_8C_3$  

• 24

• 6720

• 336

• 56

How many ways can the letters MATH be arrange?

• 24

• 3,125

• 25

• 100