Show:
combinations
dependent and independent
Permutations
100
the answer is 12 combinations
Grayson is picking his activities for this year. He wants to play one sport, join one club, and participate in one music activity. The sports he can play are tennis, soccer, and field hockey. The clubs he is considering are the journalism club and the art club. For music, he can pick piano lessons or marching band. How many different combinations of activities can Grayson pick?
100
the answer is dependent
Jay picks a marble at random. Without putting the first marble back, he picks a second marble at random. Are these two events dependent or independent?
100
The answer is2 orders
Every summer in Oxford, the city puts on a big display of fireworks. For this year's event, the grand finale will use 2 different colors of fireworks. In how many different orders can the colors appear in the grand finale?
200
the answer is 6 combinations
Monique is ordering a salad for lunch. She can choose one of hard-boiled eggs or tofu to have on the salad. She can also pick one vegetable topping. The vegetable choices are sprouts, cucumbers, or olives. How many different combinations can Monique create?
200
the correct answer is dependent
At an animal shelter, Carlie picks a puppy from a litter. Next, Neha picks another puppy from the same litter. Are these two events dependent or independent?
200
The answer is 24 orders
A candy shop is unveiling a new line of candies made with real fruit juice. The candy will be available in 4 flavors. If they want to release one new flavor every week, in how many different orders can the flavors be released?
300
The correct answer is 15 combinations
Latecia is going out for a pasta dinner. She can choose fettuccine, spaghetti, shell, penne, or macaroni pasta, and she can have meat, pesto, or garlic sauce. How many different combinations can Latecia have for dinner?
300
The answer is 120 orders
Yigol, Nila, Fuyuki, Osman, and Reshay each entered a poster in the school science fair competition and made it to the final round of judging. In how many different orders can the judges rank their posters?
400
Ther are 16 combinations
Breeon is buying a new car. She can get a van or a truck. The outside paint comes in blue, black, red, or yellow. The seats can be covered with blue fabric or gray fabric. Given these choices, how many different combinations does Breeon have to choose from?
400
The correct answer is independent
A customer selects a brand of cranberry juice to buy for his family at the supermarket. In a different city, another customer also happens to pick a brand of juice to buy. Are these two events dependent or independent?
400
The answer is 6 orders
The student council is putting on a school talent show. Vidya, Koby, and Rasheed have each signed up to perform. In how many different orders can the program be arranged?
500
there are 75 combinations
What is Upendra is deciding what to wear to school. He has a yellow shirt, a red shirt, and a purple shirt, and he has blue, beige, white, gray, and black pants. He also has boots, high tops, skate shoes, running shoes, and sandals. If he can wear any color shirt with any pair of pants and any pair of shoes, how many different combinations can Upendra pick?
500
The correct answer is independent
Greg spins a spinner. At the same time, Wade rolls a 20-sided die. Are these two events dependent or independent?
500
The answer is 24 orders
The Mountaineering Club is preparing for a camping trip. They need to replace 4 of the items in their first aid kit. In how many different orders can the items be replaced?