Permutations and Combinations Probability

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500

• 317750

• 375

• 1953125

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040

• 35

• 28

• 840

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324

• 4896

• 816

• 54

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

• 35

• 28

• 840

• 10

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• permutation

• combination

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

• permutation

• combination

Permutation or Combination: Willie and Paul are planning trips to two countries this year. There are 10 countries they would like to visit. One trip will be one week long and the other two weeks.

• permutation

• combination

Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?

• 9/52

• 4/91

• 44/105

• 11/26

Choosing 3 toppings for your sundae out of a list of 15. (a)  

• Permutation

• Combination

Picking a President, Vice-President, and Secretary from a group of 12. (a)  

• Permutation

• Combination