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?
Beads
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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