Natural numbers + multiplication principle - practice problems - page 8 of 12
Number of problems found: 234
- Committee election possibilities
5 A students must elect a three-member class committee. However, only 6 pupils out of 30 are willing to work in it. How many possibilities do they have to create it if it does not matter what function the committee member will perform? - Planting of flower beds
A gardener has to plant three flower beds, each with just one kind of plant. The number of possibilities to plant these 3 flower beds with three different kinds of plants is 133 less than the number of possibilities to plant these beds with at most three - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take off all the possibilities? - Committee position selection
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman? - A car license plate
A car licence plate consists of one letter (out of 26) and six digits. How many different plates can be formed if the letter is always in the second position and cannot be adjacent to a zero? - 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 - Four-Digit PIN Codes
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Footballers 2
Footballers have jerseys numbered 7, 8, 9, 10, and 11. The coach wants to send them to attack: a) so that no two even-numbered jerseys are adjacent, b) so that no two odd-numbered jerseys are adjacent. How many options does he have in each case? - Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - Four-Digit Lock Codes
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers? - Assume
Assume that you are to buy 5 pesos worth of candy in two different stores. In your coin purse that contains two 20-peso coins, three 10-peso coins, six 5-peso coins, and seven 1-peso coins, what is the probability of getting two consecutive 5-peso coins f - Medal division ways
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided? - 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? - Outfit combination calculation
Jasmine is very fashion-conscious. She wants to wear a different outfit every day. She has four different shoes, seven skirts, 8 T-shirts, and three hair ornaments. How many days can an outfit be combined each time? - Each with each
Five pupils from the 3 A class played table tennis. How many matches did they play with each other? - Three-digit palindrome count
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units? - Permutation exclusion problem
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - Product selection ways
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? - Milan dessert options
The pastry shop has 10 types of desserts, 8 types of ice cream, and 3 types of hot chocolate. How many options does Milo have to choose from if: A) one sweet B) some dessert and 1 scoop of ice cream? C) Some dessert, 1 scoop of ice cream, and 1 hot chocol - Ticket code combinations
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched?
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