Combinatorial number - math word problems - page 13 of 16
Number of problems found: 310
- Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces? - Tennis tournament
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m - Card drawing Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the
- Salami
We have six kinds of salami, six of which have ten pieces, and one of which has four pieces. How many ways can we distinctly choose five pieces of salami? - Probability
An experiment was conducted, consisting of crossing white and purple peas, assuming that the experimental plants had not been previously crossed. According to the rules of inheritance, it can be expected that 3/4 of the new offspring will bloom purple and - Combinations
How many elements can form six times more combinations of the fourth class than the combination of the second class? - Number pairs
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board. - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - Fraction equation
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - There
There were 12 members on the commission. Five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Bouquet arrangements
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Goal divisions
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Ice cream
Annie likes ice cream. In the shop are six kinds of ice cream. How many ways can she buy ice cream in three scoops if each has a different flavor mound and the order of scoops doesn't matter? - Plane count
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Competition
Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students? - Sum probability
We have natural numbers 3, 4, 6, 10, and 12. Calculate the probability that the sum of three randomly selected three different numbers is less than 20. - Group combinations
The group has 12 red girls and 25 blue girls in costumes. How many of them can we put together a group of 6 girls so that the four girls have red outfits? - Triangle probability
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle? - Topic probability
There are eight styles of graduation topics in the Slovak language. The Minister of Education draws 4 of them. How likely is he to choose at least one of the pairs?
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