Question

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam.

Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

NMOPL, NOMPL, NPMOL
NLMOP, NLOMP, NMLOP, NMOLP, NOMNP, NONMP
NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML
NLMOP, NMLOP, NOLMP

Answer 1

Option C.

With N first and L last, the middle three positions are permutations of M, O, P, giving 3! = 6 orders:
NMOPL, NMPOL, NOMPL, NOPML, NPMOL, NPOML.