Combinatorics - math word problems
Number of problems found: 332
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 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.
How many ways can divide 16 players into two teams of 8 member?
How many ways can 7 guests sit down on 8 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 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.
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?
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)
At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?
Would you like to compute count of combinations?