Combinatorics - math word problems - page 19 of 54
Number of problems found: 1077
- 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?
- Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
- Green and red cubes
There are five green cubes (numbered 1 - 5) and four red cubes (numbered 1 - 4). How many ways can the cubes fit in a box that only needs two green and three red cubes?
- Wall paper
Suppose you want to paper your walls. Wallpapers are available in 4 different backgrounds colors with seven different designs of 5 different colors. In how many ways can you select your wallpaper?
- Probability
In the lottery, numbers are drawn from five to 50. What are the chances you will win the first prize?
- Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters.
- 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?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
- 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?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- Five-digit 63424
How many five-digit numbers can we make from digits 2,3,4,6,7,9 if they can repeat with the digits?
- 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?
- HAMMER 4
Determine how many ways can the letters of the word HAMMER be rearranged so that in this rearrangement some group of consecutive letters forms the word CAL.
- Roads
There are four roads from city A to city B and five roads from city B to city C. How many different routes can we take from city A to city C via city B?
- 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?
- Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word.
- Peak
Uphill leads 2 paths and one lift. a) How many options back and forth are there? b) How many options to get there and back by the not same path are there? c) How many options back and forth are there that we go at least once a lift?
- Three-digit 72184
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them?
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