Question

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

Answers

  1. The possible combination is 1365.
    The correct option is (B)

    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:
    #SPJ1

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