Combinatorics - math word problems - page 42 of 54
Number of problems found: 1079
- The camp
At the end of the camp, a 6 friends exchanged addresses. Any friend gave their remaining 5 friends their card. How many addresses did they exchange?
- Probability - triangles
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three?
- Defective 22153
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty?
- Probability 2386
We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours?
- Football league
There are 16 teams in the football league. How many different sequences of results may occur at the end of the competition?
- Five number code
I forgot a five-digit code on the bag. I remember that it was a symmetric number, and the sum of its digits was 22. Write down all the numbers that can be coded.
- VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
- Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o
- Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements?
- Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors?
- Determine 80084
Determine the number of all natural numbers greater than 2000 in which the digits 1, 2, 4, 6, and 8 occur at most once each.
- Themselves 33561
How many ways can a 6-member football club member choose a leader and captain from among themselves?
- Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
- Practice
How many ways can you place 20 pupils in a row when starting on practice?
- Dice
How many times must you throw the dice, and was the probability of throwing at least one pětky greater than 70%?
- Stella 83799
Stella rolls a die from 1 to 6. How many times does she have to roll the die to be sure that the sum will be 4?
- A bag
A bag contains nine blue marbles and one green marble. What is the probability of drawing a blue marble followed by a green marble without replacing the first marble before drawing the second marble?
- Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
- Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number?
- Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are?
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