Johns friends give him a chance to choose an envelope out of three exactly same envelopes. John cannot see what's inside envelopes but he knows that one envelope contains a concert ticket and the other two contain postage stamps. After choosing the envelope but before opening it, John's friends open one of the other two envelopes revealing a postage stamp. Then, the friends give John an option to trade his box with the other unopened box. Should John swtich?
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.
Johns friends give him a chance to choose an envelope out of three exactly same envelopes. John cannot see what's inside envelopes but he knows that one envelope contains a concert ticket and the other two contain postage stamps.
After choosing the envelope but before opening it, John's friends open one of the other two envelopes revealing a postage stamp. Then, the friends give John an option to trade his box with the other unopened box. Should John swtich?
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