Combinatorial number - practice problems - page 5 of 15
Number of problems found: 296
- Combinations
Evaluate the following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men? - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Probability 47373
We were tasked with throwing the dice until we hit the "six." a) Find the average number of throws we will have to make to complete the task. b) How many times do we have to roll the dice so that the probability of falling at least one "six" is at least 9
- Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - Created trio
What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and one girl? - Different 42191
How many different triangles with vertices formed by points A, B, C, D, E, and F can we create? - Bernoulli distribution
The production of solar cells produces 2% of defective cells. Assume the cells are independent and that a lot contains 800 cells. Approximate the probability that less than 20 cells are defective. (Answer to the nearest three decimals). - Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have?
- Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - Probability 38083
The police solved 21 crimes in the monitored period. The probability of solving a crime is 0.64. What is the probability that the police: a) just solved 7 crimes b) did not solve at least 2 criminal offenses P.S. Let's assume ideal police officers - Probability 38041
Seven women and 3 men work in one office. According to the new regulation, reducing the number of employees by three is necessary. In a random sample of employees, what is the probability that they will be fired: a. One woman and two men b. At least one w - 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? - Guaranteed 37611
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1.
- Selected 37601
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - Commission 37591
Out of 10 candidates, we must select three for the commission. How many ways can this be done? - Thirteen 37581
Thirteen skiers compete in the big slalom. The first four advance to the finals. How many options are there? - The six
The six boys will be led up the hill by a two-seater lift. How many options are there? - Different 37541 There are 15 boys and 20 girls in the brigade. How many different services can be specified if one girl and two boys are on the service?
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
