Natural numbers + variations - practice problems
Number of problems found: 110
- The marathon
Twelve athletes are joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen? - 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? - 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? - Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially?
- Repeatition not allowed
How many four-digit numbers can be formed from the numbers 3 5 8 9 if they are not allowed to be repeated? - 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. - Seven-segmet
Lenka 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 - Family trip
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. - Calculated 67234
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
- A lottery In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (Th
- Different 83538
We have four different boxes and three identical balls. Place the marbles in these boxes so that the boxes can contain one, two, three or none. How many other locations are there? - Remembers: 28341
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh - Students 62184 There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have?
- Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the
- Contained 45451
How many natural numbers can you make from the digits contained in the number 4002? No digit may be repeated in the number entry. However, not all digits must be used. Sort the numbers in ascending order of size. - Combinations 29311
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain. - Non-repeating 30101 1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25
- Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - Three-digit 16763
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens?
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
