Multiplication principle - practice problems - page 3 of 28
Number of problems found: 542
- 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? - Participated 81728
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3.
- Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Consecutively numbers How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)?
- Probability 81591
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Probability 81446 What is the probability that each digit is different in a five-digit number?
- Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Probability 80785
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once? - 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.
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