DIRECTION: TRUE OR FALSE. (answers only) 1. Combination is a counting technique that refers to the selection of objects regardless of their order. 2. A permutation is a mathematical technique that determines the number of possible arrangements in a collection of items where the order does not matter. 3. There are 3 distinguishable permutations in the word SEE. 4. URN and NUR are permutations of the letters in the word RUN. 5. The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are pxq ways to do both things. DIRECTION: DEFINE IF THE FOLLOWING IS PERMUTATION OR COMBINATION (answers only) 1. For a survey, 4 students are chosen from a group of 10 students. 2. Producing license plates. 3. Thirteen students are applying for 3 scholarship slots. 4. I pull out 3 coins from my purse that consist of 1 five-centavo coin, 1 ten-centavo coin, 1 peso-coin, 1 five-peso coin, and 1 ten-peso coin. 5. Lines will be drawn using 5 non-collinear points. 6. A group of 12 members must select 4 officers consisting of president, vice president, secretary, and treasurer. 7. Eight people will be arranged for a group picture. 8. The number of volleyball games played in a 5-team league if each team plays all other teams once. 9. 12 horses being arranged in a merry-go-round 10. Creating a password in a social media account. - the deadline of this and my other questions are tomorrow, thank you! ?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 84E
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DIRECTION: TRUE OR FALSE. (answers only)

1. Combination is a counting technique that refers to the selection of objects regardless of their order.

2. A permutation is a mathematical technique that determines the number of possible arrangements in a collection of items where the order does not matter.

3. There are 3 distinguishable permutations in the word SEE.

4. URN and NUR are permutations of the letters in the word RUN.

5. The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are pxq ways to do both things.

DIRECTION: DEFINE IF THE FOLLOWING IS PERMUTATION OR COMBINATION (answers only)

1. For a survey, 4 students are chosen from a group of 10 students.

2. Producing license plates.

3. Thirteen students are applying for 3 scholarship slots.

4. I pull out 3 coins from my purse that consist of 1 five-centavo coin, 1 ten-centavo coin, 1 peso-coin, 1 five-peso coin, and 1 ten-peso coin.

5. Lines will be drawn using 5 non-collinear points.

6. A group of 12 members must select 4 officers consisting of president, vice president, secretary, and treasurer.

7. Eight people will be arranged for a group picture.

8. The number of volleyball games played in a 5-team league if each team plays all other teams once.

9. 12 horses being arranged in a merry-go-round

10. Creating a password in a social media account.

- the deadline of this and my other questions are tomorrow, thank you! ?

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