Which of the following subsets of R satisfies the following property: If (x,) is a Cauchy sequence of elements in S then lim(x,) belongs to S?
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.
Don't write the details, please just send me the correct ootion of the multiple choices.
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![Which of the following subsets of R satisfies the following property: If (x,) is a Cauchy sequence of elements in S then
lim(x,) belongs to S?
Select one:
O a. The interval [0,3).
O b. The interval (0,1).
O c. The set Q of rational numbers.
O d. The interval [-1,1].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca090263-526b-423a-9ce0-da27f8bdb1b9%2F3ac360f9-3208-41a2-a68a-f4f363cd238d%2Fiwgt5he_processed.png&w=3840&q=75)
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