Answer:
56 different ways
Step-by-step explanation:
This is a combination question since it deals with selection. For example, if n objects is to be selected from a pool of r objects, this can be done in nCr different ways.
nCr = n!/(n-r)!r!
According to the question, If the police have 8 suspects, the different number of ways 5 can be selected for a line up is expressed as 8C5
8C5 = 8!/(8-5)!5!
8C5 = 8!/(3!)!5!
8C5 = 8*7*6*5!/3*2*5!
8C5 = 8*7*6/3*2
8C5 = 8*7
8C5 = 56 different ways
Hence, the selection of picking 5 for a line up out of 8 suspects can be done in 56 different ways.
