Combinatorics - math word problems
Number of problems found: 408
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 can students 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?
How many diagonals have convex 11-gon?
The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
- Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
What is the probability that a family with 7 childrens have: exactly 6 dívek? 2 dívky and 5 boys? Consider the birth probability of a girl is 48.87% and boy 51.13%.
Would you like to compute count of combinations?