Combinatorics - math word problems - page 40 of 54
Number of problems found: 1079
- Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - Calculated 19363
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Hockey
The hockey match ended 8:10. How many different matches could be? - In the parking lot 2
There were 12 cars in the parking lot - 5 green, 4 blue, and 3 red. What is the probability that the last car left in the parking lot is blue or green? - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: a, 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 - 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 - Students 34
Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 - - Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman? - In the library
We have 8 different books in the library. How many ways can they be arranged? How many possibilities are there if 3 volumes are to be in a certain order? How many possibilities are there if three volumes are to be in a row independently in order? - Commitee
A class consists of 12 males and 15 females. How many committees of 6 are possible if the committee must consist of 4 males and 2 females? - Fall sum or same
Find the probability that if you roll two dice, the sum of 10 will fall, or the same number will fall on both dice. - Friends in cinema
5 friends went to the cinema. How many possible ways can they sit in a row if one of them wants to sit in the middle and the remaining place does not matter? - Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 2 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - 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? - Combinations - elements
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6? - Subsets
How many 19 element subsets can be made from the 26 element set? - Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl? - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)?
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