# Combinatorics - math word problems

#### Number of problems found: 302

• Chocolates In the market have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• Kids How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
• Trinity How many different triads can be selected from the group 43 students?
• Chess How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?
• 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.
• 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.
• Pairs 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?
• Chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
• Insurance 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 Calculate: ?
• Components 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?
• 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.
• Hearts 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?
• Word What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
• Pizza 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?
• Balls 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
• Lines In how many points will intersect 14 different lines, where no two are parallel?

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