# Combinatorial number - math word problems

#### Number of problems found: 129

• Dice We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
• Word What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
• Cards The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
• Chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones? How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• Fish tank A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
• Fruits In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
• Bouquets In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
• Three numbers We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
• Tournament Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with each other?
• Circles How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line?
• Cards From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
• Cancel fractions Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
• Lines In how many points will intersect 14 different lines, where no two are parallel?
• Subsets How many 19 element's subsets can be made from the 26 element set?
• Tournament Determine how many ways can be chosen two representatives from 34 students to school tournament.
• Chocolates In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• Prize How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
• Blocks There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
• A student A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 ques

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