Combinatorics - math word problems - page 17 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: 1002
- Checkerboard 9091
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares? - Divided 37473
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided? - Different 45881
Silvia wants to buy a new t-shirt, skirt, and pants. The boutique has ten different T-shirts, a white and black skirt and six types of trousers. How many different clothing options can you buy? - Individual 5544
From 5 girls and four boys have to choose one pair, boy and girl. List all the pairs in which the individual boys will be. Attention, these are four examples. How many pairs are there?
- Repeated 82330
How many 5-digit numbers can we create from the number 1,2,3,4,5 if the one's place is to have the number 5? (digits must not be repeated.) - Four-digit 63604
A four-digit code has the letters A, B, and C in the first two places and numbers 1, 2, 3, and 4 in the following two places. How many different codes can be made if we can repeat both letters and numbers in the code? - Probability 31101
There are 16 balls in the box, of which seven are white, and nine are blue. We randomly select two balls. What probability will there be exactly two white balls among the selected ones? - Study results
There are seven students in the class with 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? - Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
- 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. - 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 will hit 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? - 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?
- 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? - 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?
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