Combinatorics - math word problems - page 19 of 54
Number of problems found: 1079
- 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.
- 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?
- Probability 49331
There are 1 to 20 start numbers in the draw. What is the probability that the first downhill raffle will draw a start number less than 6?
- 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?
- Repetition 8329
How many 5-digit numbers without repetition have the last digit two smaller than the previous one?
- Combinations 7
A multi-course meal has three choices. Three appetizers, four main courses, and three desserts. How many different combinations to choose from?
- 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?
- Cars plates
How many different license plates can a country have since they use 3 letters followed by 2 digits?
- Probability 81395
What is the probability that heads come up 5 times a row when tossing a coin? Write the result as a fraction.
- 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?
- Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- 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:
- In a race
There are 25 racers in a race. What is the probability that a randomly selected racer will finish no worse than 3rd?
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