Variations + natural numbers - practice problems
Number of problems found: 104
- The marathon
There are 12 athletes joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen? - 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? - 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:
- 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. - 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? - Four numbers
I am a four-digit number, no zeros, in which the first number is five times the last, the second is four more than the first and three times the third, and the third is two more than the last and two less than the first. - Four-digit 73114
How many four-digit numbers can we assemble from the digits 2, 6, 3, 5, 1, and 9 if the numerals in the number cannot be repeated?
- 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? - Groups 72194
I have eight groups. How could they place first, second, and third? - Three-digit 72184
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them? - 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? - 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.
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