We are required to find the number of ways 6 people can be chosen and arranged in a straight line if there are 8 people to choose from
The number of ways 6 people can be chosen and arranged in a straight line if there are 8 people to choose from is 20,160 ways
P(n,r) = n! / (n - r)!
Where,
n = total number of objects
= 8 people
r = number of object selected
= 6 people
P(n,r) = n! / (n - r)!
P(8, 6) = 8! / (8 - 6)!
= 8! / 2!
= 8 × 7 × 6 × 5 × 4 × 3 × 2! / 2!
= 8 × 7 × 6 × 5 × 4 × 3
= 20,160
P(8, 6) = 20, 160 ways
Therefore, the number of ways 6 people can be chosen and arranged in a straight line if there are 8 people to choose from is 20,160 ways
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