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

C, the choice with 6 of them that all start with N and end with L

Explanation:

3dg 2020

Answer 2

If N is first and L is last, then we just need to find all of the permutations for M, O, and P

with first letter M: MOP MPO

with first letter O: OPM OMP

with first letter P: PMO POM

Now, place the N in front and the L at the end of each permutation. There are 6 permutations in total:

NMOPL NMPOL

NOPML NOMPL

NPMOL NPOML