Multiplication principle - practice problems - page 4 of 30
Number of problems found: 582
- Five-digit number creation
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 different digits Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation.
- Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - Rectangle and squares
A 9cm × 15cm rectangle is divided into unit squares. How many paths are there from one rectangle vertex to the opposite vertex if one can only go to the right and up the sides of the squares? - Monogram letter combinations
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?
- Aquaristics
We consider “words” (i.e. arbitrary strings of letters) obtained by rearranging the letters of the word “AQUARISTICS”. All letters are distinguishable from each other here. The number of such words that also contain the expression “CAVA” (as consecutive l - Volleyball tournament teams
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. - Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Heptagon triangle probability
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)?
- Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Cube tower ways
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. - Five-digit digit probability What is the probability that each digit is different in a five-digit number?
- Meeting handshake count
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Dice coin probability
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 square selection
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? - Family visit count
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. - Six-digit number creation
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?
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