Combinatorics - math word problems - page 33 of 54
Number of problems found: 1080
- The dice
What is the probability of events if we throw a dice rolled less than 1?
- Elections
In elections, candidates 8 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes.
- Possibilities 81788
The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat?
- Probability 80825
What is the probability that two fives are rolled when two dice are rolled if we know that the sum of both numbers is divisible by five?
- Determine 79624
There are 5 roads from city A to city B, 3 from city B to city C, and 4 from city C to city D. Determine the number of paths that go from A to D via B and C.
- Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor?
- Numbers 7755
How many digits 7 are in numbers from 1 to 777?
- Probability 3847
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball
- 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
- Probability - target
A target is divided into two zones. The probability that the shooter will hit zone 1 of the target is 21%; that he will hit zone 2 of the target is 48%. What is the probability that the shooter will hit the target?
- Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table?
- Possible combinations - word
How many ways can the letters F, A, I, and R be arranged?
- Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock?
- Five-digit numbers
How many different five-digit numbers can be created from the number 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
- Six on dice
When throwing two dice, what is the probability they will fall at least one six?
- Division
The division has 18 members: 10 girls, six boys, and two leaders. If one patrol has two boys, three girls, and one leader, how many different patrols can be created?
- Mortality tables
Mortality tables enable actuaries to obtain the probability that a person will live a specified number of years at any age. Insurance companies and others use such probabilities to determine life insurance premiums, retirement pensions, and annuity paymen
- Probability 83133
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5?
- Five-digit 82257
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation.
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