Sets + combinatorial number - practice problems
Number of problems found: 15
- Combinations
Evaluate following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - Subsets
How many 19 element subsets can be made from the 26 element set? - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)? - Probability 37651
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, If the probability of a boy is 0.51? - Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability of 0.04. The problem is reso - A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people? - Raffle
There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least four winnings for a group of people who have bought five tickets together? - Pairs
Teachers must choose one pair of boys and girls from the five girls and four boys. A) How many such pairs of (M + F)? B) How many pairs were only boys (M + M)? C) How many are all possible pairs? - Probability 68584
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them? - Different 4117
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? - Combinations 6
Six purses Nine flaps 12 straps Every combination must include one purse, one flap, and one strap. How many are possible combinations? - 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 - Opportunities 8372
There are 20 students in the class, four of them are being tested by the teacher. How many options are there to choose who the teacher will test? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
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