Permutations Combinations Probability

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither

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

How many distinct ways can the letters in the word OPPORTUNITIES be arranged?

• 389,188,800

• 2,028,377,600

• 1,556,755,200

• 16,227,020,800

Of 24 employees at Lowe's home improvement store, 10 work as cashiers and 14 stock shelves. If 3 of the 24 employees are selected at random to work overtime, determine the probability that 2 are cashiers and 1 stocks shelves.

• 1/4

• 1/8

• 1/24

Your history teacher randomly chooses 2 out of 18 students to give an impromptu debate on freedom of press in the high school news paper.  What is the probability that both you and your best friend are chosen to give the debate?  

• 1/153

• 1/306

• 2/153

• 40/51

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?

**A flush is all 5 cards of the same suit (order does not matter).

• 1/1287

• 1/2598960

• 1287/2598960

• 5/52

What's the probability of choosing a red M&M (eating it) and then a green M&M?

• 1/9

• 1/34

• 1/36

• 1/306

A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor's degrees:  and of 75 male nurses, 34 had bachelor's degrees.  If a nurse is selected at random, find the probability that the nurse is a female or has a bachelor degree.

• 159/200

• 125/200

• 215/200

• 90/200

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

• 672

• 40

• 6720

Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination

• permutation

• neither