Combinatorial number - high school - practice problems
Number of problems found: 138
A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?
- Count of triangles
Given a square ABCD and on each side 10 internal points. Determine the number of triangles with vertices at these points.
In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
In how many points will intersect 14 different lines, where no two are parallel?
The hockey match ended 8:2. How many different matches could be?
- Calculation of CN
Calculate: (789 choose 786) - (789 choose 3)
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?
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours?
The class is 25 students. How many ways can choose 5 students to examination?
How many ways can divide 16 players into two teams of 8 member?
Determine how many ways can be chosen two representatives from 34 students to school tournament.
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
- 2nd class combinations
From how many elements you can create 4560 combinations of the second class?
At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?
How many diagonals have convex 11-gon?
What is the probability that a family with 7 childrens have: exactly 6 dívek? 2 dívky and 5 boys? Consider the birth probability of a girl is 48.87% and boy 51.13%.
See also our combinations calculator. Combinatorial number - practice problems. Examples for secondary school students.