Combinatorics - math word problems - page 36 of 50
Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:
How many ways can we select certain objects
How many ways can we arrange certain objects
Number of problems found: 999
- Alternate 4766
Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the - Holidays with grandmam
We packed three white, red, and orange T-shirts and five pairs of pants - blue, green, black, pink, and yellow. How many days can we spend with the old mother if we put on a different combination of clothes every day? - Determine 79634
There are 12 apples and 10 pears in the basket. Peter has to choose either an apple or a pear from them so that Víra, who chooses 1 apple and 1 pear after him, has the greatest possible choice. Determine what Peter chooses. - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: and the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Probability 6761
Jano created 2-digit numbers from the card 2 4 5 9 2. What probability will a randomly generated number be odd? - Fall sum or same
Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice. - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once - 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? - Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Repetitions 2956
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class? - Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6? - Party
At the party, everyone clinked with everyone. Together, they clink $strng times. How many people were at the party? - Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - Disembarked 5962
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out? - Seating rules
In a class are 24 seats but in the 7.B class are only 18 students. How many ways can students sit? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10. - Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Probability 68564
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll? - Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is:
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