Multiplication principle + natural numbers - practice problems - page 4 of 11
Number of problems found: 203
- Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row. - Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team? - Dulikovci 56311
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - The three
The three boys, Adam, Boris, and Cyril, will 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 three roads from town A to town B And four roads from town B to town C, 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 playing 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 there possi - Different 48243
He has four types of pants. How many T-shirts does he have if he can dress 40 different ways? - Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men?
- ID tag
How many three-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. - A department
There are seven women and five 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 one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Three wagons
I have six different people (A, B, C, D, E, F), which I have to place into three wagons if it depends on who will board. How many options are there? - Tic-tac-toe
In how many ways could 9 participants of the school round of five-in-a-row win the first three places? - Permutations 46323
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.
- A bag
A bag contains nine blue marbles and one 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 made up of digits 0,2,5,7 and are divisible by nine if the digits can be repeated? - Different 45881
Silvia wants to buy a new t-shirt, skirt, and pants. The boutique has ten different T-shirts, a white and black skirt and six types of trousers. How many different clothing options can you buy? - Double six-six
What is the probability that a player in the games of ludo will throw a double six twice? - Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have?
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