Combinatorics - math word problems - page 31 of 54
Number of problems found: 1080
- Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team?
- Four-member 20013
Determine how many ways it is possible to form a four-member team from 6 men and four women, where there are exactly two men.
- MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there?
- In the shipment
There are 40 products in the shipment. Of these, 4 are defective. In how many ways can we select 5 products so that exactly 3 of them are good?
- Ways
There are 3 different roads from Lehota to Hradec and 4 different roads from Hradec to Buda. Determine the number of ways in which it is possible to choose the route from Lehota via Hradec to Buda and back so that no road is used twice.
- Table and chairs
Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chairs between them if people randomly choose their place?
- Peaches
There are 20 peaches in the pocket. Three peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
- Digits
How many five-digit numbers can be written from numbers 0.3,4, 5, and 7 divided by 10, and digits are repeated?
- First class
The shipment contains 40 items. 36 are first-grade, and four are defective. How many ways can we select five items so that it is no more than one defective?
- There
There were 12 members on the commission. Five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote?
- Stoaches
Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with a mean of 904g and a standard deviation of 104g. State the probability that the sample mean of a random sample of 36 stoach weights excee
- Repetition: 82003
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
- Two-digit 71134
How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if we cannot repeat the digits in these numbers?
- Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1?
- Tournament 35441
Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded?
- People 7331
How many people must be in a group for at least two of them to be born in the same month?
- Boy-girl 6766
How many boy-girl pairs can we create from a class of 15 boys and 16 girls?
- Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7?
- Three-digit 5226
How many different three-digit natural numbers can be created so that the digits are different and the last digit is 0?
- Birthday boy 2
In how many ways can seven people be seated around a table so that the birthday boy sits at the head?
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