SOLUTION: decide if the situation involves permutations, or combinations. explain the reasoning. The number of ways a jury of 12 can be selected from a pool of 20. the number of ways 6

Question 1059870: decide if the situation involves permutations, or combinations. explain the reasoning.
The number of ways a jury of 12 can be selected from a pool of 20.
the number of ways 6 friends can be seated in a row.
how many different permutations of the letters in the word STATISTICS are there?
how many ways can two Republicans, one Democrat, and one Independent be chosen from nine Republicans, five Democrats, and two Independents to fill four positions on city council?
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
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decide if the situation involves permutations, or combinations. explain the reasoning.

The number of ways a jury of 12 can be selected from a pool of 20.                           Combinations

the number of ways 6 friends can be seated in a row.                                         Permutations.

how many different permutations of the letters in the word STATISTICS are there?             Permutations.

how many ways can two Republicans, one Democrat, and one Independent be chosen from nine Republicans, 
five Democrats, and two Independents to fill four positions on city council?                 Combinations.

It is only PARTIAL solution.
I did not explain reasoning.

I thought that if I do everything for you, then what YOU will do?

I think it would be better if you read my lessons on permutations and combinations in this site:
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

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