Multiplication principle + natural numbers - practice problems
Number of problems found: 203
- The marathon
There are 12 athletes joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen? - 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? - 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 - 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 three aces?
- A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8? - Repeated 82330
How many 5-digit numbers can we create from the number 1,2,3,4,5 if the one's place is to have the number 5? (digits must not be repeated.) - Five-digit 82257
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation. - Repetition: 82003
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition: - We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation?
- Probability 81446
What is the probability that each digit is different in a five-digit number? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - Simultaneously 80392
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - Repetition 80362
How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
- All-natural 80304
Determine the number of all-natural five-digit numbers in decimal notation that each have the digits 0, 1, 3, 4, 7. - Five-digit 80104
How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even? - Determine 80084
Determine the number of all natural numbers greater than 2000 in which the digits 1, 2, 4, 6, and 8 occur at most once each. - Natural numbers
Determine the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, and 8 occur at most once each. - Repeated 79734
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated?
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