Binomial coefficient - math word problems - page 11 of 12

Number of problems found: 239

Electricity
Many companies providing public utility services promote energy saving by offering discount rates for consumers who keep their energy consumption below certain set standards. A recent EPA report states that 70% of the inhabitants of a monitored region red
Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other?
Running track
To the Akčesú races there came 25 runners. The running track was however narrow, and therefore always only five runners could run at once. What surprised Sára and Arthur the most however was the fact that the Te-TiVá people do not have stopwatches, nor ot
Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line?
Intersect of 10 lines
At how many points do ten lines intersect if no two are parallel?
Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o
Cards
From a set of 32 cards, we randomly pull out three cards. What is the probability of drawing two kings and one ace?
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
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?
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?
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?
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?
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
From the numbers 4, 6, 8, 10, and 12, three are chosen at random. What is the probability that the three chosen numbers can form 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?
Probability - pupils
There are 18 girls and 13 boys in the class. Four pupils will be chosen by lot to supervise the breaks. What is the probability that it will be the boys themselves?

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