Khushali selects three different numbers from the set {−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?

The sample space for given condition is

(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)

(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)

(1,6),(2,6),(3,6),(4,6),(5,6)

(1,5),(2,5),(3,5),(4,5)

(1,4),(2,4),(3,4)

(1,3),(2,3)

(1,2)

Number of sample space is 28.

Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is

28

2

=

14

1

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