A test has three parts. Part A consists of 7 true/false questions. Part B consists of 4 multiple choice questions each with 6 responses. Part C requires you to match 8 questions to 8 answers. If you must complete Part A, and then choose to answer either part B or part C, how many different answer sheets are possible? There are _____ different answer sheets possible.
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.
A test has three parts. Part A consists of 7 true/false questions. Part B consists of 4 multiple choice questions each with 6 responses. Part C requires you to match 8 questions to 8 answers.
If you must complete Part A, and then choose to answer either part B or part C, how many different answer sheets are possible?
There are _____ different answer sheets possible.
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