Business Stats

You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 3 toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.

0.2188

You are ordering a hamburger and can get up to 6 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 2 toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.

0.2344

You are ordering a hamburger and can get up to 6 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 4 toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.

0.2344

You are getting a line-up ready for a school kickball game. You have 6 girls and 6 boys. The rules state each child must kick the same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be made for one round of kicking?

1,036,800

There are 14 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines?

1001

You are getting a line-up ready for a school kickball game. You have 4 girls and 4 boys. The rules state each child must kick the same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be made for one round of kicking?

1152

How many ways can Rudy choose 5 pizza toppings from a menu of 19 toppings if each topping can only be chosen once?

11628

2 cards are drawn from a standard deck of 52 playing cards. How many different 2-card hands are possible if the drawing is done without replacement?

1326

7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are possible if the drawing is done without replacement?

133784560

A person tosses a coin 17 times. In how many ways can he get 15 tails?

136

The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is appointing. If there are 13 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

154,440

A coordinator will select 7 songs from a list of 14 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

17297280

The newly elected president needs to decide the remaining 4 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

32,760

A person tosses a coin 25 times. In how many ways can he get 10 tails?

3268760

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 9 patients during the morning rounds?

362880

10!

3628800

A coordinator will select 7 songs from a list of 10 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

604800

A coordinator will select 6 songs from a list of 6 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

720

A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 6 types of drinks to choose from, 5 types of sandwiches, and 3 types of chips. How many different value meal packages are possible?

90

There are 12 people in an office with 6 different phone lines. If all the lines begin to ring at once, how many groups of 6 people can answer these lines?

924

You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 3 toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.

0.2734

Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places. C712P512

1/120 or 0.0083

In how many ways can the letters in the word 'Oklahoma' be arranged?

10,080

12!/5!

3991680

You need to have a password with 4 letters followed by 3 even digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?

21,528,000

A coordinator will select 6 songs from a list of 14 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

2162160

There are 10 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?

252

In how many ways can the letters in the word 'Regression' be arranged?

453,600

You need to have a password with 4 letters followed by 2 even digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?

7,176,000

How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only be chosen once?

190

There are 16 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?

4368

A person tosses a coin 16 times. In how many ways can he get 3 tails?

560

How many ways can Rudy choose 5 pizza toppings from a menu of 6 toppings if each topping can only be chosen once?

6

A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 5 types of drinks to choose from, 6 types of sandwiches, and 2 types of chips. How many different value meal packages are possible?

60

A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose from, 6 types of sandwiches, and 3 types of chips. How many different value meal packages are possible?

72

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

40320

How many ways can Nick choose 3 pizza toppings from a menu of 15 toppings if each topping can only be chosen once?

455

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients during the morning rounds?

5040

The newly elected president needs to decide the remaining 4 spots available in the cabinet he/she is appointing. If there are 10 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

5040

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 21 different TVs, 20 types of surround sound systems, and 12 types of DVD players. How many different home theater systems can you build?

5040

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 15 different TVs, 24 types of surround sound systems, and 15 types of DVD players. How many different home theater systems can you build?

5400

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 16 different TVs, 22 types of surround sound systems, and 19 types of DVD players. How many different home theater systems can you build?

6688

A person tosses a coin 24 times. In how many ways can he get 14 tails?

1961256

A coordinator will select 6 songs from a list of 8 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

20160

The newly elected president needs to decide the remaining 6 spots available in the cabinet he/she is appointing. If there are 11 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

332,640

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 8 different TVs, 16 types of surround sound systems, and 21 types of DVD players. How many different home theater systems can you build?

2688

You are getting a line-up ready for a school kickball game. You have 5 girls and 5 boys. The rules state each child must kick the same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be made for one round of kicking?

28,800