Hi assalamualaikum warahmatullahi
wabarakatuh Okay meet me again
nurseffi on the channel vs mathematics
this time we go into the compulsory Mathematics material for
grade 12 semester 2, namely the
counting rules in it there will be
addition rules Multiplication rules there are
permutations and combinations okay first
we go to the addition rules but
before that we first get to know the
term counting rules
Hi so there are many real examples in
everyday life related
to counting rules for example
on our Android there is a screen lock feature
or screen lock that uses
this yes even though there is a ball there is
also a password I take a simple example,
namely the pin pin usually consists of
4 digits the padi will be chosen freely from the
numbers 1 2 3 4 5 to zero yes 9
there and zero well these 4-digits are free to take
those numbers so there are so many
different pin possibilities that can be
made so the opportunity sorry so the
number of fines that can be made is
very much how many approximately How many
pins can be made well That later the
enumeration rule material will
discuss it when we use
these numbers you can be the team
there are conditions for example must
contain zero for example or can not
have any anu and so on that we will discuss later
Hi in this enumeration rule material Hi
another example is the number of
vehicle numbers or TNKB license plates Yes
it is different or each city
for the city of Jakarta begins with B for example
Semarang begins with ha and so on then
followed by four digits then
followed by two letters or sometimes three letters
behind the number that approximately
how many different license plates
can be made now if there are variations of letters
4 numbers and there are more letters behind
that later the material is not colonial this
includes this there is a padlock examiner
at that time there are those who use passwords yes
use numbers For example like the one in
this picture now
Hi But if you enter the number
correctly or the teacher is correct then
the lock can be opened and it seems or
maybe this is for example there are seats
in a row 4
Hi cool part people want to sit position
approximately how many variations of sitting order
can eh what happens yes from the four
chairs earlier four people sit on the four
chairs earlier for example Ningxia on the edge
could be sia in the middle or is it in the
middle here or is it at the end
later B where can go back and forth
how many variations will be the material
that can calculate it so
by studying this tire later There are lots of
materials in everyday life examples
in everyday life that you can
solve both for the material of the
counting rules this will be divided into the
first multiplication rule mother sum
second there is mutation third there is
combination for the permutation itself there
are three types first permutation
with all different elements permutation with
only a few elements that are the same there are the
same elements and cyclical permutation
Oh yes later how we will discuss in
more detail in the next videos
for this time we will go into the rules
or rules of addition and multiplication
first
hi okay first the rules of addition to
understand the rules of addition pay attention to the
following illustration for example on the
table How many do we have there are eight
pens and 9 pencils we want to write here
grab the event choose one pen or one
pencil we choose just one here
can be pens can be pencils we choose just one
approximately How many ways are there to choose
80 pen 9 Kansil note that
the event is choosing One fan only
or one pencil only not a pen and
pencil at the same time So it's not taking a
pen one pencil one not what is
taken is can a pencil can a
pen but taking I take it
just one like that then the number of ways to choose
is this is the choice there are 9
choices if all modifiers are one
then it will be added
Hi m1 and m2 are eight plus 9 there are
17 ways or 17 choices well like that
Well this is what is meant by the
addition rule So the possibilities will be
added the first how much the second
how much just in the total Okay
specifically the addition rule states if
the rule if the first event can
occur in m ways and the second event
separately yes can occur in n
ways of spelling Dian first or this is our
girl Dewi or
Hi So the first or second event
can occur in m + n or
the road Lebak pen or pencil then
take just one then it can be
added for example from city A to city
B there are eight buses
Hi there are 4
Hi trains
Hi there are five planes Then want to go
from a to b then just choose one of them
Ma'am only or train only or
plane invite then the choice is only
this number eight in addition to 5
because it will choose only one like that
In general the addition rule
states if the first event can
occur M1 events2 N2 events 3 M 3
and so on until the KPI event is
mp5k just add them up m 1-2-3
add and so on until NP the key
is just add up all the
possibilities Okay, to make it easier, let's take the
example of
the lounge
in a bag there are 4
red balls 5 yellow balls and 6 blue balls
how many possibilities to
take just one ball red or blue
or yellow yes So there are so many sugars
Just one more that is
how many possibilities there are this just
you just add up four plus 5
plus six like Batam 599 + 6 15
ways or 15 possibilities are very easy
not just add them up yes class 11 MIPA 1
consists of 16 male students and 20
female students or male students yes one student
is chosen to represent his class to
take part in the speech competition How many
ways to choose a representative from the class are
male 16 female 20 then
the number of ways to choose there are 16 plus
20 because it can be male or female
yes
E36
there third from city A to city B this is
what I gave an example of earlier yes from
my city but there are several choices of
transportation modes that can be chosen for example there
are eight buses 4 airplanes
and 3 trains How many
different ways to go from city A
to city B using one
of the vehicles just one
means he can choose 8 plus or
four buses or jump on a plane yes or
three trains in total alone can
name 12 plus 3-15 next a
bicycle shop sells five brands of bicycles
yes these are the brands a-b-c-d-e-f-g-a and
or which are available as in the table
beside So they have six bicycles
6 in stock yes b there are three CD4 and so on the
band wants to buy just one bicycle from
the shop How many choices of
bicycles can be bought
this by Benny earlier yes just in
total this is the total yes 6
Hi plus 3 plus 4 plus 2 plus 10
Hi you plus 399 plus 4 1313 same
1515 same 10 25 okay There are 25 choices of
bicycles that Benny can buy, well, that
was the addition rule, so
the process is very easy, just
add them up. Okay, we will continue
in the next video. Collect Idah
multiplication, see you later. Please watch the
next video.
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