A population of 20 students is shown below. Select a sample of 8 students on the basis of gender (male/female) and grade level (freshman/sophomore) by stratified sampling. Write the name of the selected students. Step / Guide: Divide the population into 2 subgroups, consisting of males and females. Further divide each subgroup into 2 groups of freshmen and sophomores. Note that the students are arranged alphabetically. For group 1, select students number 5 and 4. For group 2, select students number 5 and 2. For group 3, select students number 1 and 3. For group 4, select students number 3 and 4. 1. Ald, Peter 2. Brown, Danny 3. Bear, Theresa 4. Carson, Susan 5. Collins, Carolyn 6. Davis, William 7. Hogan, Michael 11. Martin, Janice 12. Meloski, Gary 13. Oeler, George 14. Peters, Michele 15. Peterson, John 16. Smith, Nancy 17. Thomas Jeff M Fr F Fr M So M Fr F Fr M So F Fr F So F Fr M Fr M Fr F Fr Fr M So
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.
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