Question

In a Football World Cup tournament, there are four groups of teams with 8 teams
in each group. In first stage of the tournament each team can play one match
with all other teams of its group. The number of the matches played in first stage
of world cup is​

Answer 1

Answer:

4 tournaments

Step-by-step explanation:

I think this may help you

Answer 2

Concept:

Combination i.e. ⁿCr represents the selection of element/objects from a group of element/objects, where the order of objects does not matter. It is given by ⁿCr = n! / [r! ( n - r )! ].

Given:

Four groups of teams with 8 teams in each group.

Find:  

We are asked to seek out the number of matches played in the first stage of the world cup.

Solution:

We have,

Groups of team = 4

Teams in each group = 8

Total number of teams = 8 × 4 = 32

Now,

Using the combination formula,

So,

Matches played between 8 teams = ⁸C₄

= (8!) / [ 4! (8 - 4)! ]

Now, expanding the 8! ,

= [(8 × 7 ×6 ×5) × 4! ] / [ 4! × 4! ]

Now, dividing the 4!,

= [(8 × 7 ×6 ×5) / [ 4 × 3 × 2 × 1]

We get,

=  7 × 5 × 2

= 70

Hence we can say that the number of matches played in the first stage of the world cup is 70.

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