Permutations + natural numbers - practice problems
Number of problems found: 88
- Permutations 82516
From how many elements can we make 5040 permutations without repetition? - Four-digit 82023
How many four-digit numbers are there in which there are at least three eights - 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: - Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - 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. - Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes that are greater than 2000 and divisible by 4 are possible? - Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes? - Numbers 72404
How many numbers are less than 200, the digit sum of which is 6? - Probability 72324
We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try? - Three-digit 72184
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them? - Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1? - Probability 68594
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five? - Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li - Competition 67314
The coach must choose two students from Sam, Jura, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with Jura or Ema, and Dano will not go with Ema. How many pairs does the trainer have to choose from? - 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 - Five-digit 66894
Create all five-digit numbers in ascending order from three, four, and two zeros. - Find two digits
Find the possible values of A and B if the six-digit number 2A16B6 is divisible by 4 and 9. Please write the result as a composed number.
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