I think it's 17 because if they have 17 tasks they can assign 17 different ones.
The number of ways is there to assign the tasks will be 19448.
A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
17 different tasks are assigned to 7 different people.
Each task is assigned to exactly one person and there are no restrictions on the number of tasks that can be given to any one person.
Since the tasks are different, it matters who gets which tasks.
Then the number of the ways are there to assign the tasks will be
¹⁷C₇ = 17! / [(17 - 7)! x 7!]
¹⁷C₇ = 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10! / (10! x 7!)
¹⁷C₇ = (17 x 16 x 15 x 14 x 13 x 12 x 11) / (7 x 6 x 5 x 4 x 3 x 2 x 1)
¹⁷C₇ = (17 x 16 x 13 x 11) / (2)
¹⁷C₇ = 38896/3
¹⁷C₇ = 19448
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
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