Combinatorics - math word problems - page 19 of 57
Number of problems found: 1135
- Probability of connection with repeated attempts
A secretary at company A is calling the switchboard at company B during peak phone line traffic, when the probability that the line will not be busy is 0.25. She repeats individual connection attempts every few minutes until she is connected to the switch - Four-digit code letters
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? - Two-digit number creation
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. - Ball selection probability
There are 16 balls in a box: 7 white and 9 blue. Two balls are drawn at random. What is the probability that both selected balls are white? - Pair combinations
From 5 girls and four boys, we 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? - HAMMER 4
Determine in how many ways the letters of the word HAMMER can be rearranged so that some group of consecutive letters in the rearrangement forms the word CAL. - 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? - 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? - Medals
How many ways can gold, silver, and bronze medals be divided among 16 contestants? - Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters. - 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? - 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? - Five-digit
Find all five-digit numbers that can be formed from the digits 1, 2, 3, 4, and 5 without repetition, and then those with repeated digits. Show your calculation. - Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated? - Three-digit number creation
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them? - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 mouths, how many unique face combinations can I make? - Start number probability
There are 1 to 20 start numbers in the draw. What is the probability that the first downhill racer drawn will have a start number less than 6? - Target miss probability
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? - Ball probability 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?
- Ball color probability
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?
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