Combinatorics - practice problems - page 9 of 55
Number of problems found: 1085
- Two prizes
Teacher Mae is giving away a random prize to a class of 15 pupils (7 boys and eight girls). What is the probability that girls will win both prizes? - Book reading order
Dana received four new books. How many different orders can she read them? - Sweater arrangement ways
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 selection ways
There are 24 students in the class. How many ways can we select a class committee? Where are the chairman, treasurer, and bulletin board? - Three-digit number creation
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 number creation How many five-digit numbers do we create from digits 1, 2, and 3?
- Dressing combination 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.
- Rain probability
Last year, it rained 12 days in March. What is the probability that it rained on March 20? - Competition placement options
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 number creation 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? - Card drawing probability
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. - Three-digit number creation How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them?
- Four-digit number creation 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? - Prize award ways
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Hotel room numbering
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 - Flower watering options
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 - Team selection ways
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?
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