Direction: Solve The Following Word Problem, Ernan Invited His Close Friends Melvin, Jelson And Lain

DIRECTION: SOLVE THE FOLLOWING WORD PROBLEM

Ernan invited his close friends Melvin, Jelson and Lain to his 16 ^ m birthday which will be held at Woodlane Imus. He prepared a special table with chairs placed in a row to be occupied by his three friends.
1. List all possible sitting arrangements.

2. In how many ways can they be seated in a row?

3.Show the possible sitting arrangements by tree diagr

 

✒️PERMUTATIONS

• Ernan invited his close friends Melvin, Jelson and Lain to his 16th birthday which will be held at Woodlane Imus. He prepared a special table with chairs placed in a row to be occupied by his three friends.

#1: List all possible sitting arrangements.

• Melvin, Jelson, Lain
• Melvin, Lain, Jelson
• Jelson, Melvin, Lain
• Jelson, Lain, Melvin
• Lain, Melvin, Jelson
• Lain, Jelson, Melvin

#2: In how many ways can they be seated in a row?

• They can be arranged in 6 ways

#3: Show the possible sitting arrangements by tree diagram.

• *Picture/Attachent given*

• There are 3 ways to sit in the first chair. Either Melvin, Jelson, or Lain will sit on that chair

• Since the first chair is occupied, there will be 2 ways in sitting the second chair. If we say that Melvin sat on that chair, then either Jelson or Lain will be the second.

• After the two have been occupied, there is only one chair for one person to be seated making it as the only way to sit on that chair. There is only one way to sit on that chair.

• Multiplying these ways will give us the number of 6 ways on which they can be seated in a row.

(ノ^_^)ノ