Variations - practice problems - page 6 of 15
Number of problems found: 285
- 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 - 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? - Combinations 29311
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain.
- 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 - 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? - 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 - How many 4
How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, and 0 such no digits repeats? - 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? - Positions 26151
How many positions are there to store three books on the shelf? - 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
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