Six campers – Alice, Betty, Carmen, Dora, Gina, and Harriet – are arranging a dish-washing schedule for the six days of their camping trip so that each of them will wash dishes on only one day. Betty washes either on day 2 or on day 6. If Alice washes on day 1, Carmen washes on day 4; Carmen does not wash on day 4 unless Alice washes on day 1. If Alice washes on day 1, Harriet washes on day 5; Harriet does not wash on day 5 unless Alice washes on day 1. If Gina does not wash on day 3, Alice washes on day 3. If Alice washes on day 4, Dora washes on day 5. If Betty washes on day 2, Gina washes on day 5. If Harriet washes on day 6, Dora washes on day 4 1. Which of the following is an acceptable order in which the campers can wash dishes from the first to the last day? (a) Dora, Betty, Alice, Gina, Carmen, Harriet. (b) Betty, Alice, Harriet, Carmen, Gina, Dora. (c) Harriet, Gina, Betty, Carmen, Dora, Alice. (d) Carmen, Betty, Alice, Dora, Gina, Harriet.
Answers
Answer:
Harriet,Gina,Betty, Carmen,Dora,Alice.
Answer:
The acceptable dish wash schedule is option d) Carmen, Betty, Alice, Dora, Gina, Harriet.
Step-by-step explanation:
We have given some conditions on the arrangement of dishwashing. We can analyze each of the options given.
a) Dora, Betty, Alice, Gina, Carmen, Harriet
This order is not possible. Because if Betty washes on day 2, Gina washes on day 5. But here, Carmen is assigned for day 5.
b) Betty, Alice, Harriet, Carmen, Gina, Dora
This order is also not possible. Because Carmen does not wash on day 4 unless Alice washes on day 1. Here Alice is not on day 1. So it is not possible to put Carmen on 4th day.
c) Harriet, Gina, Betty, Carmen, Dora, Alice
Since Carmen is assigned on the fourth day, for the same reason as in option (b), this is not the required schedule.
d) Carmen, Betty, Alice, Dora, Gina, Harriet
This is the required order as it is not contradicting any of the given conditions.