Reason + multiplication principle - practice problems - page 5 of 12
Number of problems found: 223
- Karolína
Carolina chose five bodies from the kit - white, blue, and gray cubes, a blue cylinder, and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top? - Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6? - Defective 35831
Among the 24 products, seven are defective. How many ways can we choose to check a) 7 products so that they are all good b) 7 products so that they are all defective c) 3 good and two defective products? - A license
A license plate has three letters followed by four numbers. Repeats are not allowed for the letters, but they are for the numbers. If they are issued at random, what is the probability that the three letters are in alphabetical order and the three number - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers? - Themselves 33561
How many ways can a 6-member football club members choose a leader and captain from among themselves? - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - Two-element combinations
Write all two-element combinations from elements a, b, c, and d. - Competition 33041
The long-term volleyball tournament is played on a one-on-one basis. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Ascending 32663
How many natural numbers can you make from the digits in 4052? No digit may be repeated in the number entry. Sort the numbers in ascending order of size. - Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25 - Combinations 29311
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain. - Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner? - Four-digit numbers
How many four-digit numbers can we make from the numbers 2, 6, 3, 5, 1, and 9 if we cannot repeat the numbers in the number? - Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - Three-digit numbers
We have digits 0, 1, 4, and 7 that we cannot repeat. How many three-digit numbers can we write from them? You can help by listing all the numbers. - Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%?
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