Variations - high school - practice problems - page 3 of 10
Number of problems found: 187
- Sequentially 35731
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket? - 6-digit 35541
How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers? - BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA? - Different 35501
Dana received four new books. How many different orders can she read them?
- Interpretation 35461
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted? - Double-digit 33471
How many double-digit numbers greater than 60 can we make from digits 0,5,6,7,8,9? The numerals must not be repeated. - Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - School committee
Seven students were elected to the school committee. How many ways can become the President, Vice-President, Secretary, and Treasurer be selected?
- Participants 31351
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Probability 31101
There are 16 balls in the box, of which seven are white, and nine are blue. We randomly select two balls. What probability will there be exactly two white balls among the selected ones? - Complexity 30631
Here, you have a task to think about but don't look for great complexity in it. You have 6 bulbs connected here. A to F and 6 switches No. 1 to No. 6. Your task will be to gradually determine which bulbs will always be on if any of the switches are in the - Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Variations 26791
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements?
- Coffe cups
We have 4 cups with four different patterns. How many possible combinations can we create from 4 cups? - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Selected 26381
Seven people need to be selected from the sports club, where 11 men and nine women. How many ways can we do this if seven women are on the team? - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - Defective 22153
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty?
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See also our variations calculator. Variations - practice problems. Examples for secondary school students.