Multiplication principle - practice problems - page 7 of 31
Number of problems found: 609
- Dice sum probability
What is the probability that if you roll the die twice, the sum of 12 will fall? - Three-digit number count
Use the product rule to find out how many three-digit numbers exist. - Second prize
Jamie and Mark each bought a raffle ticket for a draw of 125 tickets total. The first ticket drawn wins the prize of the winner's choice and is removed from the draw. The holder of the second ticket drawn wins the remaining prize. Find the probability tha - Apple pear division
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Jane and Gretel? - Family children probability
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex - Probability - on the roll Find the probability that one will fall at least once in three rolls.
- Two-digit number creation How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if we cannot repeat the digits in these numbers?
- Wagon assembly ways
How many ways can we assemble five wagons when sand is in three wagons and cement in two? - Group women selection
A group of six, including at least three women, is selected from seven men and four women. Find how many ways we can do this. - Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Paths to the hill
From a car park it is possible to ascend to the top of a hill on three different hiking trails or by going up by cable car, and in the same four ways it is possible to descend from the hill back to the car park, as illustrated in the picture. By a path to - Assume
Assume that you are to buy 5 pesos worth of candy in two different stores. In your coin purse that contains two 20-peso coins, three 10-peso coins, six 5-peso coins, and seven 1-peso coins, what is the probability of getting two consecutive 5-peso coins f - Twin cinema seating
Twins Ela and Nell came to the cinema together with their friend Hela. Only the first 10 seats in the third row are free. How many ways can they be seated if the twins want to sit next to each other, with Nell always to Ela's left and Hel right next to on - For the tournament 2
For the dodgeball tournament, 8 teams signed up, from which pairs were formed by draw. In the first round, each pair played one match. The winners played semifinal matches and the winners of the semifinals played the last, final match, which determined th - Squash tournament matches
Twelve players signed up for the squash tournament. Based on the lottery, they formed pairs, and in the first round, each pair played one match. The winners advanced to the second round, where they played each other one game at a time. How many matches we - In the centre
In the centre of the city a new restaurant was opened. The customer can choose whether he wants penne, spaghetti or fusilli. He can have them salty with one of five sauces and a portion will according to his wish either be sprinkled, or not sprinkled with - Concert seating ways Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John?
- Ways
There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you travel: A) from village A to village C via village B? B) from village A to - Milan dessert options
The pastry shop has 10 types of desserts, 8 types of ice cream, and 3 types of hot chocolate. How many options does Milo have to choose from if: A) one sweet B) some dessert and 1 scoop of ice cream? C) Some dessert, 1 scoop of ice cream, and 1 hot chocol - Gabika party outfits
Gabby wants to wear pants, a blouse, a skirt, and a T-shirt to the party. She has two pairs of pants, 3 blouses, 3 skirts, and 4 T-shirts to choose from. How many parties can she attend if everyone wants to go dressed differently?
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