Answer:
a. A = {RRR,LLL,SSS}
b. B = {RLS, RSL, LSR, LRS, SRL, SLR}
c. C = {RRS, RRL, RSR, RLR, LRR, SRR}
d. D = {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}
e. C U D= {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}
C n D = {RRS, RRL, RSR, RLR, LRR, SRR}
Step-by-step explanation:
a..
All three vehicles go in the same direction
This means that all the three vehicles either go straight, or right or left at the same time.
So, A { {RRR, LLL, SSS}
b..
All three vehicles take different directions
Thus means that all the vehicle take different routes
If a vehicle takes the the straight direction, the other 2 vehicles take right and left directions respectively
So, B = {RLS, RSL, LSR, LRS, SRL, SLR}
c..
Exactly two of the three vehicles turn right
This means that two vehicles take right direction while the last vehicle either tske the straight route or left route.
C = {RRS, RRL, RSR, RLR, LRR, SRR}
d..
Exactly two vehicles go in the same direction.
The means that if two vehicles pass straight direction then the third vehicle takes either the right or left direction.
Also, if two vehicles pass right direction, the third vehicle either takes the left direction or straight direction
Lastly, if two vehicles pass left direction then the third vehicle either pass the straight direction or right direction.
D = {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}
e. C U D = the union of items in C and D without repetition
So,
C U D= {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}
C n D = Common items in C and D
C n D = {RRS, RRL, RSR, RLR, LRR, SRR}
List outcomes in D'.D' = List outcomes in C ∪ D.C ∪ D = List outcomes in C ∩ D.C ∩ D =
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