Probability, Outcomes, Combinations and Permutations

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

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither

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

• 462

• 55440

• 55

• 1000

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220

• 36

• 1320

• 100

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7

• 1/7

• 2/7

• 1

If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then what is the probability of randomly guessing the password?

• 1/60

• 1/45

• 1/200

• 1/175

What is the probability of choosing 2 female senators if there are 19 female senators out of 100?

• 342

• 1/342

• 171

• 1/171

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2

• 12 because 2 x 3 x 2

If you draw a random card from a standard deck of cards, how many possible outcomes?

• 13

• 26

• 52

• 54

If you roll two dice, how many possible outcomes?

• 360

• 1

• 36

• 12