Quadratic equation + combinatorics - practice problems
Number of problems found: 27
- Participated 81728
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Combinations 80637
If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there? - Combinations 70714
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have?
- Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points? - Variations 26791
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Combinations 16283
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - Combinations 16213
From how many elements is it possible to create 120 second-class combinations?
- Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Variations 8333
How many elements do we create 90 variations of 2 classes without repeating elements? - Diagonals
What x-gon has 54 diagonals? - 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? - Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat?
- Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are? - Combinations
How many elements can form six times more combinations fourth class than the combination of the second class? - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4
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