Question

In Cricket League, in first round every team plays a match with every other team.
9 teams participated in the Cricket league. How many matches were played in
the first round?​

Answer 1

36

Explanation:

There are a total of 9 teams, andeach matc requires two teams

Therefore, nCr = 9C2

nCr = n! / r! (n-r)!

9C2 = 9! / 2! (9-2)!

9*8 / 2 = 36

• The above problems is known as permutation and combinations. Permutation and combinations are the means of representing a group of objects by their collection and sub-sets creation. It determines the various ways in which data can be organized. If we pick data or objects from a specific category, it is named permutations, while its order is called combination
• In mathematics, permutation refers to a mechanism called permutation that arranges all elements of a given order/sequence  or if the series has already been arranged, it re-arranges its features. In virtually any field of mathematics there are permutations, more or less prominent. They also exist if multiple orders are taken into account in such finite sets.
• The mix is a way to select objects from a set so that the selection order doesn't matter (unlike permutations). For lesser cases, the number of variations can be counted. The combination is the combination of n items which k take at a time without repeating. The words k-selection/k-combination with repeat are for the combinations wherein repetition is permitted

To know more

Find the number of permutation in the word Allahabad - Brainly.in

https://brainly.in/question/8759205