# Combinatorics - math word problems

#### Number of problems found: 410

• Flags How many different flags can be made from colors red, yellow, blue, green, white to consist of three different colors?
• Shooter 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?
• Shooters 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)?
• Bulbs 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?
• Orchard 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?
• Examination 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.
• Teams How many ways can divide 16 players into two teams of 8 member?
• Guests How many ways can 9 guests sit down on 10 seats standing in a row?
• Tournament Determine how many ways can be chosen two representatives from 34 students to school tournament.
• Elections 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.
• Chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
• Confectionery 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.
• Insurance 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.

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Would you like to compute count of combinations?