Variations - practice problems - page 8 of 16
Number of problems found: 312
- 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 - Gold, silver, bronze
How many ways can we divide gold, silver, and bronze medals if six people compete? - Five letters
How many ways can five letters be arranged? - 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?
- Combinations and eggs
You have colored 4 red eggs, 3 green, 4 yellow, 5 blue, and 5 white. A caroler stops by you, and you decide to give him three eggs of different colors. How many options (different color combinations) do you have for gifting a caroler? - Arithmetic 20153
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter? - Calculated 19363
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Three-digit 16763
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens? - Four-digit 16463
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9? - Possible combinations - word
How many ways can the letters F, A, I, and R be arranged? - Temperature variations
Today's temperature was 80 degrees, and then the temperature dropped 10 degrees. Then it dropped 15 degrees again; the next day, the temperature went up 2 degrees. What would the temperature be? - Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread?
- Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Z6 – I – 6 MO 2019 Mother studied multi-digit numbers in which odd and even digits regularly alternate. Those that start with an odd digit she called comical and those that start with an even digit she called cheerful. (E.g. The number 32387 is comical, the number 4529 is c
- Boys and girls
There are 20 boys and ten girls in the class. How many different dance pairs can we make of them? - Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options. - Two groups
The group of 10 girls should be divided into two groups with at least four girls in each group. How many ways can this be done?
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