Answer:
It is B, I got it right on edman!
Step-by-step explanation:
The correct ways can the roles be assigned is 84 ways.
To find ways can the roles be assigned.
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given That:
Total individuals = 9
Available roles = 5
First, it'll be assumed that no two individual shares a role and no single individual takes two roles.
Having said this, the number of ways the roles can be assigned can be calculated using the combination formula as follows.
ⁿCr = C(n,r)
Where n represents the total individuals
n = 9
r represents the available roles
r = 5
So,
ⁿCr = C(n,r)
⁹C₆ = C(9,6)
⁹C₆= 9!/((9-6)!*6!)
⁹C₆ = 9!/(3!*6!)
⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)
⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)
⁹C₆ = 504/6
⁹C₆ = 84
Hence, 9 roles can be assigned to 5 people in 84 ways.
Learn more about combination here:
https://brainly.com/question/16705925
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The missing option is
E. 84
