Combinatorial number + variations - practice problems - last page
Number of problems found: 53
- VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Salami
We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami? - Different 4533
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board. - There
There were 12 members on the commission. In the vote, five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote?
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Together 3331
The group has 12 red girls and 25 blue girls in costumes. How many of them can we put together a group of 6 girls so that the four girls have red outfits? - Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition? - Combinations of sweaters
I have four sweaters, two are white, one red and one green. How many ways can you sort it out? - Disco
At the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
- Three-digit numbers
How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)? - The camp
At the end of the camp, a 8 friends exchanged addresses. Any friend gave their remaining 7 friends their card. How many addresses did they exchange? - Combinatorics
The city has 7 fountains. Works only 6. How many options are there that can squirt? - N-gon
How many diagonals have convex 30-gon?
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