Combinatorics - practice problems - page 9 of 54
Number of problems found: 1077
- Interpretation 35461
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted? - Committee 35431
There are 24 students in the class. How many ways can we select a class committee? Where are the chairman, treasurer, and bulletin board? - 3-digit 35271
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Five-digit 35261 How many five-digit numbers do we create from digits 1, 2, and 3?
- T-shirts 34951 How many ways can I dress in the morning if I can choose from 10 T-shirts, eight shirts and nine pants? I wear pants plus a T-shirt or pants plus a shirt.
- Probability 34801
Last year, it rained 12 days in March. What is the probability that it rained on March 20? - Participants 33551
How many ways could the four participants in the finals of the Peťo, Juro, Martin, and Števo sports competition take the first three places? Write each option.
- Double-digit 33471 How many double-digit numbers greater than 60 can we make from digits 0,5,6,7,8,9? The numerals must not be repeated.
- Soccer teams
Have to organize soccer teams. There are three age groups. How many different ways can you organize ten teams for each age group? Is this a permutation or combination? - Probability 32951
Determine the probability that when drawing three cards from a complete set of 32 marriage cards, it will be the same acorns or the kings themselves. - 3-digit 32301 How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them?
- 4-digit 32251 How many 4-digit numbers to two decimal places do we create when we use the numbers 7, 5, 0, 3
- School committee
Seven students were elected to the school committee. How many ways can the President, Vice-President, Secretary, and Treasurer be selected? - Participants 31351
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Indicated 29611
In the hotel, the room numbers are indicated by a 3-digit number and one of the letters A B. The first digit indicates the floor number. How many rooms can they have in the hotel?
- Sum of fall dices
What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. ... 31 32. .. . . . . . .. . 66, count them; it's the variable n Variable m: 36, 63,... wri - Punishment 26851
Alena, Ivana, Edo, Filip, and Martin came late to school. As a punishment, two will water flowers all over the school after class, and the other three will clean up the classroom. The class teacher couldn't decide who to send to water the flowers, so Juro - Selected 26381
Seven people need to be selected from the sports club, where 11 men and nine women. How many ways can we do this if seven women are on the team? - Probability 22033
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective? - School club
Six boys, nine girls, and a teacher played in the school club. What probability will they point at the boy when they play the counting game?
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