Combinatorial number - practice problems - page 4 of 15
Number of problems found: 296
- Different 65654
Jane received three different marks (1-5) during the day. How many marks did she receive? A) 6 B) 8 C) 10 D) 12
- Sons
The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one?
- Triangle from sticks
Bob the boulder has many sticks of lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed with the sticks?
- Designated 64234
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read?
- Anniversary 63804
Out of 3,000 employees of a certain company, 1,800 are men. The management decided that on the occasion of the company's anniversary celebration, it will give special rewards to 10 randomly drawn employees. What is the probability that the sample will be
- Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions?
- Students 62184
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have?
- 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?
- Probability 59493
Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces.
- Tv dinner tray
I'm trying to calculate the total number of unique potential combinations, but I'm trying to solve for a TV dinner tray with four little sections each: meat, veggie, starch, and dessert. This is more complex because we have different types of meats/veggie
- Pass a test
The student has to pass a test that contains ten questions. For each of them, he chooses one of 5 answers, with just one being correct. The student did not prepare for the test, so he randomly chose the answers. What are the probabilities that the student
- 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?
- Population variance
60% of students at a California community college will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If eight students are randomly selected, find the population variance σ²
- Family trip
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice.
- The flag
The flag should consist of 3 different-colored stripes—available colors are white, red, blue, green, and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of fla
- The three
The three boys, Adam, Boris, and Cyril, will be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away?
- Basketball 54361
The basketball team consists of five players. Determine how many options his coach has to build a team if he has 12 players.
- Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50?
- Probability 53061
One hundred people work in the office. Each of them spends an average of 25 minutes daily on the phone. A working day has 8 hours. What is the probability that ten workers will be on the phone simultaneously in one day?
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