Combinations Probability

What is the r value for choosing 5 cards from a standard deck of cards? 

• 2

• 5

• 13

• 52

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

Jim draws 4 cards from a deck of cards.  What is the probability of all 4 cards being clubs?

• 13C4
  52P4

• 13C4
  52C4

• 1
  52C4

• 1
  52P4

Eight racers are running and Tom wants to know his probability to earn a medal (Gold, Silver or Bronze).

• ⅓

• ⅗

• ⅜

• ⅝

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

• ½

• ⅓

• ⅙

• ⅛

Choosing 3 toppings for your sundae out of a list of 15

• ₁₅P₃ Permutation

• ₁₅C₃ Combination

• ₁₅C₁₂ Combination

• ₃P₁₅ Permutation

A teacher is selecting 6 students to participate in a project out of a class of 18. How many different ways can the teacher select this group of 6?

• 13366080

• 80196480

• 2227680

• 18564

• 73440

Permutation or combination,

Picking a team of 3 people from a group of 10.

• ₁₀C₃ Combination

• ₁₀P₃ Permutation

• ₃C₁₀ Combination

• ₇C₃ Permutation

There are 45 applicants for three Computer Programmer job positions.

• ₄₅C₃ combination

• ₄₅P₃ permutation

• 45 x 3 neither

• ₄₂C₃ combination

• ₄₂P₃ permutation

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462

• 55440

• 55

• 1000