Natural numbers + multiplication principle - practice problems
Number of problems found: 234
- An ice cream
An ice cream machine has 3 flavors - vanilla, chocolate, and strawberry. The ice cream can be served in 2 ways - in a cone or in a cup. Along with the ice cream, there are 5 options for toppings - hot fudge, caramel, nuts, cherries, and sprinkles. What is - A restaurant’s
A restaurant’s menu has 3 appetizers, 3 mains and 2 desserts. In how many way can a 3-course meal be ordered? - The marathon
Twelve athletes are joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen? - A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8? - Divisors 7
If 540=2²×3³×5, what is the number of all factors of 540? - 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain at least three aces? - Locker combination
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the probability that he will guess the first number correctly and the second number incorrectly? - Natural numbers
Find the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, 8 occur at most once and not contains any other digits. - Repeatition not allowed How many four-digit numbers can be formed from the digits 3, 5, 8, and 9 if no digit may be repeated?
- Anti-birthdays
Štefka likes to celebrate, so apart from her birthday she came up with anti-birthdays as well: the date of anti-birthdays arises so that the number of the day and the number of the month in the date of birth are swapped. She herself was born on 8.11., so - Digits
How many odd four-digit numbers can we create from digits 0, 3, 5, 6, and 7? (a) the figures may be repeated (b) the digits may not be repeated - Single-colored
Diana is going to a party. She can't decide what to wear. She has 4 T-shirts (white, blue, pink, and purple) and 5 skirts (black, white, pink, green, and brown) to choose from. In how many different ways can she combine a T-shirt and a skirt if she doesn' - Dishes
The HOD is to test at least three different dishes out of five before scoring the students. How many ways can he choose the dishes? - At Junior's
A pizzeria offers pizza with tomato and cheese as a base. If a customer wishes, they may add toppings from the following options: ham, mushrooms, corn, and onion, each ingredient at most once. Every pizza is available in three sizes: small, medium, and la - 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 - Bus route network
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d - Seven-segmet
Helen is amused that he punched a calculator (seven-segment display) number and used only digits 2 to 9. Some numbers have the property that She again gave their image in the axial or central symmetry some number. Determine the maximum number of three-dig - 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?
- Karolína
Carolina chose five bodies from the kit - white, blue, and gray cubes, a blue cylinder, and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top? - Weekly pair options
There are 13 boys and 17 girls in the class. The weeklies are always either two girls or a boy and a girl. The teacher calculated that she has 357 ways to create a pair of weekly newspapers. However, Anetka did not come to school on Monday morning. How ma
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