The document is a prayer thanking God for opportunities to learn, meet people, and explore. It asks God to bless those experiencing mental breakdowns or pain, and to let them feel God's warmth and unconditional love.

2. “Dear Lord, we thank you for the opportunity that you
have given us today. This is another day for us to
learn new lesson, meet new people and explore new
things. We thank you also for continuously giving us
your unending love, mercy and guidance. Bless all the
people especially to those who are experiencing a
mental breakdown. Bless also those people who are
now in the pain and let them see and feel your warmth
and unconditional love. We pray all of these in Jesus’
name, Amen.”

3. It is easy to multiply counting numbers
like 1, 2, 3, 4, and 5. One way to easily find
the product of two numbers is using the
fingermethod of multiplication. For
instance, we will multiply 8 and 9.

4. Connectthe 8th (middle finger) and your
9th finger(index finger) then multiply
the remaining fingers which are 2 and 1=
2 and count the remaining connected
fingers by 10 whichis equal to 70, thus
add it up, 70+2= 72.

5. Therefore, 8 times 9 is 72.

19. Rearrangethematchsticks
tomakethestatement
correct.

20. Donotplaythematchsticks.
Pleaseberesponsible.

24. Procedure:
 Theclasswillbedivided
into5groups.

25.  Eachgroupwillbegiven
ameta-stripcontaining
theitemstobesolved.

26.  Theywillbegiven3
minutestofinishthe
items.

27.  Onerepresentativewill
posttheirgroups’
answerontheboard.

29. 1. HowmanywayscanthelettersinthewordPENCIL
bearranged?
Step1.Given
n=6;numberoflettersinaword
Step2.Substitutetotheformula.
nPn= 𝑛!

30. Step3.Solve
6P6=6!
6P6= 6 ∗ 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1
6P6= 720
Step4.Conclusion.
Therefore,thereare720waysthelettersinthe
wordPENCILbearranged.

31. 2.Iftherearefourdifferenttypesofcookies,how
manywayscanyoueatallofthem?
Step1.Given
n=4;numberofbooks
Step2.Substitutetotheformula.
nPn= 𝑛!

32. Step3.Solve
4P4=4!
4P4=4 ∗ 3 ∗ 2 ∗ 1
4P4=24
Step4.Conclusion.
Therefore,thereare24waystoeatthecookies.

33. 3.Howmanywaysaretheretoorder5booksona
shelf?
Step1.Given
n=5;numberofcookies
Step2.Substitutetotheformula.
nPn= 𝑛!

34. Step3.Solve
5P5=5!
5P5=5 ∗
4 ∗ 3 ∗ 2 ∗ 1
5P5=120
Step4.Conclusion.
Therefore,thereare120waystoarrangethe
booksontheshelf.

36. Ifthepermutationof3taken
allatatime,whatisthevalue
ofn?

37. Thenwhatisthepermutation
ofnobjecttakenallatonce?

38. Alwaysrememberthatalinear
permutationisanorderedarrangement
ofobjectsinaline.Itcanbeclassifiedas
“permutationofntakenallatatime”and
isdenotedby𝑛𝑃𝑛 = 𝑛 wherenisalso
thenumbertobetaken.

40. 1. Mr.Jrequestedhislearnerstobringfloor
waxforcompliance.Eachstudentis
requiredtobring3boxeseach.Inhow
manywayscanthelearnersarrange3
floorwaxina row?
Direction:Solvethefollowingpermutations.

41. 2.7P7= 7!
Direction:Solvethefollowingpermutations.

42. 𝒏 = 𝟑
3P3=3!
3P3=(3)(2)(1)
3P3 =6
Therefore,there6waysthelearnerscanarrangethefloor
wax.

43. n=7
7P7 =7!
7P7=(7)(6)(5)(4)(3)(2)(1)
7P7 =1,360

45. Direction:Solvethefollowingpermutations.
1. SirDenrequestedhisstudentstobring9flowersfor
thebeautificationoftheirclassroom.Inhowmany
wayscanhearrangealltheflowersinarow?
2. Howmanywayscantheletters intheword ENGLISH
bearranged?

47. Applyyourlearnings!
1.4P4
2.11P11
3.0P0

48. Applyyourlearnings!
4. 13P13
5.Inhowmanydifferentwayscan7
floatslineupforthehomecoming
parade.