# Combinatorics - math word problems

#### Number of problems found: 332

• 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 21 students. How many ways can choose two 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 7 guests sit down on 8 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 owner of the house 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.
• Chess
How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?
• Playing cards
How many possible ways are to shuffle 7 playing cards?
• Seating
How many ways can 6 people sit on 6 numbered chairs (e. G. , seat reservation on the train)?
• School trip
The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
• Party
At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?

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