Natural numbers + multiplication principle - practice problems
Number of problems found: 69
- Face combinations
If I have 20 sets of eyes, 20 noses, and 20 mouths, how many unique face combinations can I make?
- Even five-digit
How many even five-digit natural numbers with different digits can be created from the digits 0 - 6?
- Balls in row
Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row.
- The three
The three boys Adam, Boris and Cyril are to be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away?
- Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key?
- Three towns and roads
If there are 3 roads from town A to town B And 4 roads from town B to town C, in how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice?
- Hockey Championships
At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther
- Committee 2
How many committee consisting of 3 women and 2 men can be formed from a group of 6 woman and 5 men?
- ID tag
How many 3 digit ID tag can be made if: a) a digit cannot be used more than once b) the 1st digit must be five, and repetition of the others is not permitted.
- There 8
There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?
- Three wagons
I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there?
In how many ways could 9 participants of the school round of five-in-a-row win the first three places?
- A bag
A bag contains 9 blue marbles and 1 green marble. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble.
- Three-digit numbers
How many are all three-digit numbers that are made up of digits 0,2,5,7 and are divisible by 9 if the digits can be repeated?
- Double six-six
What is the probability, that a player in the games of ludo will throw a double 6 twice .
- We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
- Permutations with repetitions
How many times the input of 126.96.36.199.3.3.4 can be permutated into 4 digits, 3 digits and 2 digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 188.8.131.522. . etc 2 digits = 12, 21, 31, 23 I have tried permutation fo
Karolína chose 5 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 of each other?
- The gems
The jeweler selects 4 gems for the ring. It has rubies, emeralds and sapphires. How many options does he have?
The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has.
Natural numbers - practice problems. Multiplication principle - practice problems.