Activity 4
Directions: Solve the following problems. Write your solutions on a separate sheet of paper.
1. In how many ways can 10 boy scout members arrange themselves at a bonfire in a circular position?
2. In how many distinguishable ways can we arrange the letters of the word "MISSISSIPPI"?
3. A platoon will select a Leader, Flag Bearer, and Secretary - from among 30 boy scout members. How many ways can this three be selected from the platoon?
4. In how many ways can we arrange 10 boy scout members in a row?
5. A rover scout wants to buy an ice cream with the following flavors: rocky road, chocolate, ube cheese, strawberry, and mango. In how many ways can he select 2 flavor of ice cream for his members?
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Answer:
1.) 10×9×8×7×6×5×4×3×2×1 =3628800
2.)Hence the number of ways can the letters in 'MISSISSIPPI' be arranged is 34650.
3.)Answer:
24, 360 ways
Step-by-step explanation:
(30-3)!=27!
30×29 ×28 = 24, 360
4.)Since these events are interlinked, you will multiply 10•9•8•7•6•5•4•3•2•1 ie 10! Thus 10 students can be arranged in a row in 3628800 ways.
5.)Answer: 20 ways
Step-by-step explanation:
P (n, r) = P(5, 2)
=5!/(5-2)!
=20
Therefore, there are 20 ways that we can select 2 flavors of ice cream for his members.
Step-by-step explanation:
Sorry yan lang alam ko.
Pero sana ok na yan