The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.
The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.
If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:
nPr = n!{(n - r)!}.
In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.
Since the position is to be chosen in a specific order, we will follow permutation.
The number of positions to be chosen (r) = 2.
The number of members (n) = 16.
Thus, the number of ways is given as:
nPr = n!{(n - r)!},
or, 16P2 = 16!{(16 - 2)!},
or, 16P2 = 16!/14! = 15*16 = 240.
Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.
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