In going home, two sisters decide to take a ride. Due to COVID-19 pandemic, only 14 passengers are allowed, seven on each side. Following the health protocol such as social distancing, they can choose the seats that are available. Therefore, in how many ways can the two sisters be seated on one side of the jeepney?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![Solve the following problems.
1. In going home, two sisters decide to take a ride.
Due to COVID-19 pandemic, only 14 passengers
are allowed, seven on each side. Following the
health protocol such as social distancing, they
can choose the seats that are available.
Therefore, in how many ways ce
be seated on one side of the jeepney?
the two sisters](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9a31858-6df3-4703-85d9-903d3188a16c%2F832f23e4-1afb-421a-ae2f-6d94641366a0%2F5fkx25p_processed.jpeg&w=3840&q=75)
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