# Trinity

How many different triads can be selected from the group 43 students?

Correct result:

n =  12341

#### Solution:

$n={C}_{3}\left(43\right)=\left(\genfrac{}{}{0px}{}{43}{3}\right)=\frac{43!}{3!\left(43-3\right)!}=\frac{43\cdot 42\cdot 41}{3\cdot 2\cdot 1}=12341$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
Would you like to compute count of combinations?

## Next similar math problems:

• Divide How many different ways can three people divide 7 pears and 5 apples?
• Committees How many different committees of 2 people can be formed from a class of 21 students?
• Math logic There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa
• Wagons We have six wagons, two white, two blue, and two red. We assemble trains from them, wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train, because I don't know any different. How many di
• Salami How many ways can we choose 5 pcs of salami if we have 6 types of salami for 10 pieces and one type for 4 pieces?
• Soccer teams Have to organize soccer teams. There are 3 age groups. How many different ways can you organize teams of ten for each age group? Is this a permutation or combination?
• Competition 15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
• Bouquets In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
• Cube construction A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• Research in school For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th
• Tournament Determine how many ways can be chosen two representatives from 34 students to school tournament.
• Tournament How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament?
• Twelve flowers A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these 4 types of flowers would be possible?
• Points in plane The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?
• Two groups The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
• Confectionery The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.