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Question 3(Multiple Choice Worth 4 points)
(H1.05 MC)
There are 15 players on a soccer team. Only 11 players can be on the field for a game. How many different groups of
players of 11 players can the coach make, if the position does not matter?
165
1,365
1,815
32,760

Respuesta :

What is Combination?

Combinations are also called selections. Combinations correspond to the selection of things from a given set of things. Here we do not intend to arrange things. We intend to select them. We denote the number of unique r-selections or combinations

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by

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


Given:

Players, n = 15

Selected, r = 11

So,

15 C_11

= 15!/ 11 ! 4 !

= 15*14*13*12 / 4*3*2

= 1365

Hence, the possible combination is 1365.

Learn more about combination here:

https://brainly.com/question/28070931

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