Combinatorics - math word problems
Number of problems found: 410
How many different flags can be made from colors red, yellow, blue, green, white to consist of three different colors?
The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit the inner circle II is 0.58. What is the probability that it hits the target circle I or II?
In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once.
- Event probability
The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (chance is the same)?
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours?
10 trees in 5 lines grows in the orchard. How many trees are in the orchard?
- Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
The class is 25 students. How many ways can choose 5 students to examination?
- Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters.
How many ways can divide 16 players into two teams of 8 member?
How many ways can 9 guests sit down on 10 seats standing in a row?
Determine how many ways can be chosen two representatives from 34 students to school tournament.
In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
- Football league
In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
- 2nd class combinations
From how many elements you can create 4560 combinations of the second class?
- 2nd class variations
From how many elements you can create 2450 variations of the second class?
- Two doctors
Doctor A will determine the correct diagnosis with a probability of 93% and doctor B with a probability of 79%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
The house owner is insured against natural disasters and pays 0.04% annually of the value of house 53 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 41% of the insurance is to pay damages.
Would you like to compute count of combinations?