Combinatorial number + multiplication principle - practice problems - page 4 of 8
Number of problems found: 145
- Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner? - 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? - Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - 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? - 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? - Four-member 20013
Determine how many ways it is possible to form a four-member team from 6 men and four women, where there are exactly two men. - Probability 18073
Determine the probability that three balls, ten red, and ten blue balls, will be drawn from 3 balls of the same color. - Delegation 16263
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Determined 16233
How many lines are determined by 5 points if three lie in one line? - Divide
How many different ways can three people divide seven pears and five apples? - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - 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. ) - 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? - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Triangles 8306
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long. - Menu
On the menu are 12 kinds of meals. How many ways can we choose four different meals for the daily menu? - 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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