Combinatorics - math word problems - page 41 of 54
Number of problems found: 1079
- Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition? - Individual 4688
The locomotive pulls six wagons. Each of the wagons is either red or blue. The order of colors of individual wagons is the same from the front and back. How many such trains can you draw? - Probability
Two duelists have agreed to fight at a designated location between (6:00 and 7:20). One of them will wait 8 minutes after arriving at the location and then leave. The other will wait for his opponent for 16 minutes and then leave. What is the probability - Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - 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? - The camp
At the end of the camp, a 8 friends exchanged addresses. Any friend gave their remaining 7 friends their card. How many addresses did they exchange?
- Defective 22153
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty? - 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. - 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 - - Five number code
I forgot a five-digit code on the bag. I remember that it was a symmetric number, and the sum of its digits was 22. Write down all the numbers that can be coded. - 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? - 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? - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip
- Football league
There are 16 teams in the football league. How many different sequences of results may occur at the end of the competition? - 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? - Dice
How many times must you throw the dice, and was the probability of throwing at least one pětky greater than 70%? - Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are? - IQ Intelligence quotient
Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively, to a given group). Intelligence has an approximately
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