Permutations Combinations A

There are 10 dogs in a dog show. How many ways can they be awarded first, second, and third place? Which scenario is represented by this situation?

• permutation with repetition

• permutation without repetition

• combination with repetition

• combination without repetition

There are twelve math teachers at a school. In how many ways can five of the teachers be chosen to attend a math conference? Which scenario is represented by this situation?

• permutation with repetition

• permutation without repetition

• combination with repetition

• combination without repetition

How many ways can the letters in the word EDUCATION be arranged?

• 9⁹=387,420,489

• 9!=362,880

• 9(9)=81

A grocery store is hiring two new employees. If there are eighteen applications, how many ways can they choose two?

• 18² = 324

• 18!/(18-2)! = 306

• 18(2) = 36

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480

• 0

• 42,504

• 5.17 x 10²¹

Simply the expression: 9P4

• 36

• 120

• 35

• 3024

In a Permutation the order of the outcomes ​ ​ (a)   , but in a Combination the order​ (b)  

• matters

• doesn't matter

Simplify the expressions 6P5

• 1

• 30

• 720

• 6

Calculate the following:

₁₂P₅

Mathematical Equivalence

ON

Calculate ₈P₂

Mathematical Equivalence

OFF