K-permutations - practice problems - page 9 of 15
Number of problems found: 292
- Light bulbs
You are in a room with 3 switches. In the next room, there are 3 switched-off classic light bulbs in table lamps; each switch belongs to one light bulb. You cannot see from one room to the other. How do you find out which switch belongs to which light bul - Number 4
Camilla wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - Double-digit number creation 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? - Tournament match calculation
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Tournament placement ways
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - School committee
Seven students were elected to the school committee. How many ways can the President, Vice-President, Secretary, and Treasurer be selected? - Prize award ways
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Bulb switch puzzle
Here, you have a task to think about but don't look for great complexity in it. You have 6 bulbs connected here. A to F and 6 switches No. 1 to No. 6. Your task will be to gradually determine which bulbs will always be on if any of the switches are in the - Number combination 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
- Hotel room numbering
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? - Probability
A man had 4 coins, some worth $2 and some worth $1. Each coin had a number on one side and a picture on the other. The man flipped them, and the sum of the numbers showing on top was 1. The probability of this happening was 1/8. What was the probability t - 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 - You have
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer? - PIN code puzzle
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh - Coffe cups
We have 4 cups, each with a different pattern. How many different arrangements of the 4 cups are possible? - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Team selection ways
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? - Book shelf positions
How many positions are there to store three books on the shelf?
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