Permutations + reason - practice problems - page 4 of 6
Number of problems found: 110
- Five-digit 13361
Write the 12 largest five-digit numbers in the twelve-position system and the 12 smallest six-digit numbers. - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Probability 8419
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - Necklaces 8006
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create?
- Four-digit 7953
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? - Three numbers
We have three different non-zero digits. We will create all three digits numbers from them to use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers? - Volleyball 7827
In the volleyball tournament, three teams and four foreign teams played, each with each other, in one match without revenge. How many games have been played? - Friends 7624
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench? - Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb
- Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - Three-digit 7248
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - Notation 7014
There is no 0 in the decimal notation in natural numbers, and there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers. - Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1,8,7,4,9?
- 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 of all the possibilities? - Digit sum
How many are three-digit numbers that have a digit sum of 6? - Glass with icecream
We have six kinds of ice cream and five kinds of fruit. We put 3 cups of ice cream and two fruits into each glass. How many can unique decorated glasses be? - Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7? - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
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