Combinatorics - practice for 10 year olds
Number of problems found: 16
- 4-digit 32251
How many 4-digit numbers to two decimal places do we create when we use the numbers 7, 5, 0, 3 - Chess competition
Four chess players took part in the competition. How many matches would have taken place if every chess player had played with everyone just once? - Football team
The football team has black, purple, and orange shirts, blue and white shorts, and striped and gray socks. How many different outfits may players start? - Three-digit 45361
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? The numerals can be repeated in the created number.
- Individual 5544
From 5 girls and four boys, we have to choose one pair, boy and girl. List all the pairs in which the individual boys will be. Attention, these are four examples. How many pairs are there? - Digits
How many odd four-digit numbers can we create from digits 0, 3, 5, 6, and 7? (a) the figures may be repeated (b) the digits may not be repeated - Twins with friend
The twins Danka and Janka went to the cinema with their friend Betka. Only six seats in the second row were available in the cinema. The twins want to sit next to each other. Danka is always to the right of Janka, and Betka is near one of them. How many m - Three-digit 5226
How many different three-digit natural numbers can be created so that the digits are different and the last digit is 0? - Four-digit 82023
How many four-digit numbers are there in which there are at least three eights
- Simultaneously 80392
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. - Classmates 18173
Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down? - Individual 4688
The locomotive pulls six wagons. Each of the wagons is either red or blue. The order of colors of individual wagons is the same from the front and back. How many such trains can you draw? - Stella 83799
Stella rolls a die from 1 to 6. How many times does she have to roll the die to be sure that the sum will be 4? - Digits
Write the smallest and largest 2-digit natural number.
- Each with each
Five pupils from the 3A class played table tennis. How many matches did they play with each other? - Alarm clock
The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of the alarm's digits equals 21. Find out when the alarm clock will ring. What is their number? List all options.
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