Probability Combinations and Possible Outcomes

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 1.3 x 10¹²
• 120
• 3003
• 360,360

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

• 12,650
• 303,600
• 100
• 254

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

What is the formula for Permutations?

• n!
• ^n!∕_(n-r)!
• ^n!∕_(n-r)! r!
• ^r!∕_{(r-n)! n!}

What is the formula for Combinations?

• ^n!∕_(n-r)! r!
• ^n!∕_(n-r)!
• ^r!∕_{(r-n)! n!}
• n!

If all items chosen are treated the same it is a ....

• Comparision
• Permutation
• Combination
• Position

If all items chosen are treated differently it is a ...  

• Comparision
• Permutation
• Combination
• Position

How many ways can 9 runners medal (Gold, Silver or Bronze) in a race?

• 27
• 84
• 216
• 504

You flip a coin three times. What is the probability of three consecutive heads?

• ½
• ⅓
• ⅙
• ⅛

You have 15 milk chocolate Valentines and 10 dark chocolate Valentines.  What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.

• ¼
• ½
• ⅖
• ⅜