Answer each given situation below. Show complete computations, then box all final answers. 1. There are 12 athletes joining the Baguio Marathon Event. How many ways can the first, second, and third placers be chosen? 2. Five boys and four girls are to arrange themselves to form a line. How many arrangements can there be if: (a) the boys stand together, and the girls stand together? (b) the boys and the girls stand alternately? 3. There are 10 participants to a barangay meeting to talk about safety measures to be implemented during the pandemic. In how many ways can these 10 barangay participants arrange themselves in a row if three of them should stay together? 4. A couple with their three children are to pose for a family picture. In how ways can they be arranged in a row if: (a) they can take any position? (b) the mother and the father stay at both ends? (c) In how many ways can they be arranged in two rows if the parents will stay at the front row?
Answer each given situation below. Show complete computations, then box all final answers. 1. There are 12 athletes joining the Baguio Marathon Event. How many ways can the first, second, and third placers be chosen? 2. Five boys and four girls are to arrange themselves to form a line. How many arrangements can there be if: (a) the boys stand together, and the girls stand together? (b) the boys and the girls stand alternately? 3. There are 10 participants to a barangay meeting to talk about safety measures to be implemented during the pandemic. In how many ways can these 10 barangay participants arrange themselves in a row if three of them should stay together? 4. A couple with their three children are to pose for a family picture. In how ways can they be arranged in a row if: (a) they can take any position? (b) the mother and the father stay at both ends? (c) In how many ways can they be arranged in two rows if the parents will stay at the front row?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:Answer each given situation below. Show complete computations,
then box all final answers.
1. There are 12 athletes joining the Baguio Marathon Event. How
many ways can the first, second, and third placers be chosen?
2. Five boys and four girls are to arrange themselves to form a line. How
many arrangements can there be if:
(a) the boys stand together, and the girls stand together?
(b) the boys and the girls stand alternately?
3. There are 10 participants to a barangay meeting to talk about safety
measures to be implemented during the pandemic. In how many ways
can these 10 barangay participants arrange themselves in a row if three
of them should stay together?
4. A couple with their three children are to pose for a family picture. In how
ways can they be arranged in a row if:
(a) they can take any position?
(b) the mother and the father stay at both ends?
(c) In how many ways can they be arranged in two rows if the parents
will stay at the front row?
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