Combinatorics - math word problems
Number of problems found: 302
In the market have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
How many different triads can be selected from the group 43 students?
How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?
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.
- Two doctors
Doctor A will determine the correct diagnosis with a probability 93% and doctor B with a probability 79%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
- Count of triangles
Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
- Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
The owner of the house is insured against natural disasters and pays 0.04% annually of the value of house 77 Eur. Calculate the value of the house. Calculate the probability of disaster, if you know that 48% of the insurance is to pay damages.
- Calculation of CN
In the box are 8 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning?
The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
5 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacement. What is the probability of choosing 5 hearts in a row?
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
A school survey found that 12 out of 15 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza?
From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
- Monty Hall
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. Wh
In how many points will intersect 14 different lines, where no two are parallel?
Would you like to compute count of combinations?