Combinatorics - math word problems - page 18 of 51
Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:
How many ways can we select certain objects
How many ways can we arrange certain objects
Number of problems found: 1001
- Four-member team
There are 14 girls and 11 boys in the class. How many ways can a four-member team be chosen so that there are exactly two boys in it? - All-natural 80304
Determine the number of all-natural five-digit numbers in decimal notation that each have the digits 0, 1, 3, 4, 7. - Probability 29163
There are ten red, six blue, and eight green balls in the hat. What is the probability that a randomly selected ball is blue or red? - Attempts 3460
How many attempts do I need to guess the 3-digit PIN to be sure I can guess it?
- Probability 81395
What is the probability that heads come up 5 times a row when tossing a coin? Write the result as a fraction. - Arithmetic 36901
The examiner has prepared 20 examples from arithmetic. He wants to choose seven samples for the paper. The order of the examples does not matter. How many different papers can he compile? - Probability 3835
We have four red, three blue, six yellow, and two black balls in the bag. Find the probability of pulling the blue or red ball. - Dice and coin
A number cube is rolled, and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than two and the coin toss is head? - Cars plates
How many different license plates can a country have since they use 3 letters followed by 3 digits?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero? - Screws
The box contains eight iron, six brass, and four titanium screws. What is the probability that the randomly selected screw will not be brass? - Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there? - Bulbs
In the box are 6 bulbs with power 75 W, 14 bulbs with power 40 W, and 15 with 60 W. Calculate the probability that a randomly selected bulb is: - Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters.
- Football league
In the 5th football league is 10 teams. How many ways can be filled first, second, and third place? - Dice 7
A standard number cube is tossed 210 times. What is a reasonable prediction for the number of times the number cube will land on a 5? - Roads
There are four roads from city A to city B. There are five roads from city B to city C. How many different routes can we take from city A to city C via city B? - Probability
In the lottery, numbers are drawn five from 50. What are the chances you will win the first prize? - Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word.
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