AThe probability of choosing a specific section is 1/5 on each choice. Therefore the probability they all choose the same one is given by: \(\frac{1}{5}\times\frac{1}{5}\times\frac{1}{5}\times\frac{1}{5}\times\frac{1}{5}=\frac{1}{3125}\)
(b) There are 5! permutations of the 5 sections without repetitions and there are 5^5 permutations with repetitions. Therefore the probability they each choose a different section is given by: \(\frac{5!}{5^{5}}=\frac{24}{625}\ or\ 0.0384\)
