Combinatorial number - practice problems - page 7 of 15
Number of problems found: 292
- Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen? - Together 3331
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? - A bag 2
A bag contains seven green and eight red jellybeans. How many ways can five jellybeans be withdrawn from the bag so that the number of green ones withdrawn will be less than 4? - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - 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? - Probability 81685
There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good? - Accommodated 6614
Sixteen students on the brigade will be accommodated in one 8-bed and two 4-bed rooms. How many ways can they do that? - Exactly 5803
There are 15 black and 20 white balls in Destiny. How many ways can six balls be drawn to have exactly two whites between them? - Probability 3080
There are eight styles of graduation topics in the Slovak language. The Minister of Education draws 4 of them. What is the probability that he will choose at least one of the pairs? - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - Peaches
There are 20 peaches in the pocket. Three peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten? - Commitee
A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females? - Seedbeds
The father wants to plant two seedbeds of carrot and two seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - First class
The shipment contains 40 items. 36 are first-grade, and four are defective. How many ways can we select five items so that it is no more than one defective? - Competition
Fifteen boys and ten girls are in the class. In the school competition of them is selected a 6-member team composed of 4 boys and two girls. How many ways can we choose students? - Three-digit numbers
How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)? - Intersection of the lines
How many points do nine lines intersect in a plane, of which four are parallel, and of the other five, no two are parallel (and if we assume that only two lines pass through each intersection)? - Confectionery
The village markets have 5 kinds of sweets. One weighs 31 grams. How many different ways can a customer buy 1.519 kg sweets? - Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team?
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