K-permutations + multiplication principle - practice problems - page 8 of 14
Number of problems found: 261
- 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 - Five letters
How many ways can five letters be arranged? - Product selection ways
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? - Team placement calculation
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. - Combinatorial examples
1. In the class you have 15 pupils. In how many ways can we select four for examination? 2. In how many ways can we select from seven-card cards (32 cards) any two cards? 3. In how many ways can we divide 12 pupils into two six-member teams? 4. In how man - Briefcase code options
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 number creation
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? - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - 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 A mother was studying multi-digit numbers in which odd and even digits alternate regularly. She called those starting with an odd digit 'comical' and those starting with an even digit 'cheerful'. (For example, the number 32387 is comical, and the number 4
- Boys and girls
There are 20 boys and ten girls in the class. How many different dance pairs can we make of them? - Graduation party There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Test 10 questions
A test has 10 questions with multiple-choice answers. For the choice of the correct answer there are four options A, B, C, D, where always one of them is correct. How many are there all different possibilities for answers in this test, a) if its taker ans - Book distribution possibilities
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Probability - cards
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - Triangles - count
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long. - Planting of flower beds
A gardener has to plant three flower beds, each with just one kind of plant. The number of possibilities to plant these 3 flower beds with three different kinds of plants is 133 less than the number of possibilities to plant these beds with at most three - Different Colored Necklaces
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
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