Combinatorics - practice problems - page 9 of 52
Number of problems found: 1029
- 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? - Chess competition
Four chess players took part in the competition. How many matches would have taken place if every chess player had played with everyone just once?
- Probability 18073
Determine the probability that three balls, ten red, and ten blue balls, will be drawn from 3 balls of the same color. - (four-seater) 17053
Karel wants to take some 15 classmates out of school after graduation. How many passengers does he have to choose if he has to fill the car (four-seater)? - Probability 17023
In the draw pole, five numbers out of 35 are drawn. The third prize is paid for three guessed numbers. What is the probability of winning the third prize if we submit a ticket with one of five numbers? - Three-digit 16763
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens? - Four-digit 16463
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9?
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