your have 4 employees.
you want to divide them into sets of two.
the formula for that is C(4,2) = 4! / (2! * 2!).
the number of teams that can be made are (4*3*2*1)/(2*1*2*1)
factor out the 2'2 in the bottom with their multiples in the top to get:
(3*2*1)/(1*2) = 6 teams.
let:
P = patty
C = carne
S = sanji
L = Luffy
the 6 teams formed from PCSL are:
PC
PS
PL
CS
CL
SL
if your first team is PC, then the second team has to be a team that does not have a P or a C in it.
same for any other team you pick.
the possible team pairings from PCSL are:
FIRST PAIR IS SETUP TEAM
SECOND PAIR IS FOLD NAPKINS TEAM
SETUP NAPKINS
PC SL
SL PC
PS CL
CL PS
PL CS
CS PL
CS PL DUPLICATE - REMOVED
PL CS DUPLICATE - REMOVED
CL PS DUPLICATE - REMOVED
PS CL DUPLICATE - REMOVED
SL PC DUPLICATE - REMOVED
PC SL DUPLICATE - REMOVED
we are left with 3 pairs that are not duplicates of each other.
they are:
SETUP NAPKINS COMBINED TOTAL
PC SL 12 7 19
SL PC 7 7 14
PS CL 9 8 17
CL PS 10 6 16
PL CS 8 5 13 *****
CS PL 11 9 20
the winning pairs are:
PL CS with a combined total of 13 minutes which is the minimum total time to set up a table and fold napkins.
that's the team of patti and luffy for setup, and the team of carni and sanji for folding napkins.
patty and luffy took 5 + 3 = 8 minutes to set up a table.
carnie and sanji took 3 + 2 = 5 minutes to fold napkins.
their combine time was 13 minutes for both.
that's what i get.
i'd go with patty and luffi for setting up a table, and carnie and sanji for folding napkins.