A test consists of 12 questions that are divided into three questions. There are 5 questions in the first section, 4 in the second section and 3 in the third section. A student is required to answer 6 out of these 12 questions. In how many ways can the student answer 6 questions if the student selects 3 from the first section, 2 from the second section and 1 from the third section?
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 consists of 12 questions that are divided into three questions. There are 5 questions in the first section, 4 in the second section and 3 in the third section. A student is required to answer 6 out of these 12 questions. In how many ways can the student answer 6 questions if the student selects 3 from the first section, 2 from the second section and 1 from the third section?
Step by step
Solved in 2 steps
