Permutations, Combinations & Probability A

5! = __________________

• $5\cdot5\cdot5\cdot5\cdot5$

• $5\cdot4\cdot3\cdot2\cdot1$

• $5+5+5+5+5$

• $5+4+3+2+1$

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