Combinatorics - math word problems - page 43 of 54
Number of problems found: 1079
- Pairs
Teachers must choose one pair of boys and girls from the five girls and four boys. A) How many such pairs of (M + F)? B) How many pairs were only boys (M + M)? C) How many are all possible pairs?
- Lifespan
The lifetime of a light bulb is a random variable with a normal distribution of x = 300 hours, σ = 35 hours. a) What is the probability that a randomly selected light bulb will have a lifespan of more than 320 hours? b) To what value of L hours can the la
- Conditional 73664
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell?
- Twenty
Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr
- Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together.
- Boys and girls
There are 20 boys and ten girls in the class. How many different dance pairs can we make of them?
- Medicine
We test medicine on six patients. For all, the drug doesn't work. If the drug success rate of 20%, what is the probability that medicine does not work?
- Kids
How many different ways can sit 6 boys and 3 girls in line if girls want to sit on the edge?
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the
- Ten points
There are ten arbitrary points in the plane. How many circles can we make from them?
- Two-digit 7410
How many two-digit numbers can be written using the number 0,2,6? We can also repeat the digits in the number.
- Chocolates
How many ways can we distribute eight different chocolates to four children?
- Three digits number
How many are three-digit integers such that they have no digit repeats?
- Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition
- Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
- School trip
The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number)
- Refrigerator, lemonades
How many possible ways can we store three lemonades, four mineral waters, and two juices in the refrigerator next to each other?
- Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2?
- Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers?
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