Combinatorics - math word problems - page 18 of 52
Number of problems found: 1029
- Lock
A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?
- Two-digit 62944
Find the number of all two-digit numbers created from digits 1, 2, 3, 4, and 5 that are greater than 24. We can repeat numerals.
- 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 40101
The target is divided into three zones. The shooter's probability of hitting the first zone is 0.18, the second zone is 0.22, and the third zone is 0.44. What is the likelihood that he will miss the target?
- Study results
Seven students in the class have excellent results, six praiseworthy, five good, four sufficient, and three insufficient students. What is the probability that it will be a good student when summoned?
- Probability 36081
There are 6 white and several red balls in the box. How many red balls must there be so that the probability of drawing a red ball is less than the probability of drawing a white ball or greater than the probability of drawing a white 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?
- Five-digit
Find all five-digit numbers that can be created from number 12345 so that the numbers are not repeated and then numbers with repeated digits. Give the calculation.
- 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?
- Combinations 7
A multi-course meal has three choices. Three appetizers, four main courses, and three desserts. How many different combinations to choose from?
- 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?
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