Natural numbers + permutations - practice problems
Number of problems found: 88
- 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. - Dulikovci 56311
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 - 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. - 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
You have four reindeer, and you 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? - 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 - Indicated 29611
In the hotel, the room numbers are indicated by a 3-digit number and one of the letters A B. The first digit indicates the floor number. How many rooms can they have in the hotel? - 3-digit 35271
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Green and red cubes
There are five green cubes (numbered 1 - 5) and four red cubes (numbered 1 - 4). How many ways can the cubes fit in a box that only needs two green and three red cubes? - How many
How many double-digit numbers greater than 30 can we create from digits 0, 1, 2, 3, 4, and 5? We cannot repeat numbers in a two-digit number. - 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: - Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1? - Spouses 61294
Ten married couples board the train, which has five cars. How many ways can they take if no two spouses want to be in the exact vehicle? - Three-digit 72184
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them? - Travelogues 45401
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books?
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