Permutations + combinatorial number - practice problems
Number of problems found: 50
- Combinations
Evaluate following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - N-gon
How many diagonals have convex 30-gon? - A pizza
A pizza place offers 14 different toppings. How many different three-topping pizzas can you order? - Admittedly 7431
How many ways can three children divide five small and six large exercise books? Admittedly, some get nothing. - Created 7758
How many words can be created from the word KLADIVO if we want the word VODA to be written next to each other? - Soccer teams
Have to organize soccer teams. There are three age groups. How many different ways can you organize ten teams for each age group? Is this a permutation or combination? - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - A basket 4
A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges. - 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? - Word
What is the probability that a random word composed of chars S, G, R, S, E, I, N, A, L, P, C, T, M, H, E, E will be the SPHERICALSEGMENT? - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other? - Hockey match
The hockey match ended with a result of 3:1. How many different storylines may the match have? - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - Exactly 5803
There are 15 black and 20 white balls in Destiny. How many ways can six balls be drawn to have exactly two whites between them? - Seedbeds
The father wants to plant two seedbeds of carrot and two seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - Competition
Fifteen boys and ten girls are in the class. In the school competition of them is selected a 6-member team composed of 4 boys and two girls. How many ways can we choose students? - Three-digit numbers
How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)? - 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. - Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many.
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