Examples of Combinations (NCERT) - Permutations and Combinations Video Lecture | Mathematics for Grade 11

hello friends this video on combination
part 2 is brought to you by exam fear
calm
no more fear from exam before watching
this video you should have watched
combination part 1 so let's also push on
the waist so here the question is NC 9
is going to and see it finances extreme
we will save anything mutation by n
minus 9 communication by 9 permutation
is referred to n concentration level
permutation invitation we can service so
what we get here is 8 the mutation into
n minus 8 egg notation is equal to 9
point addition into n minus 9
division so 9 permutation I can say is
going to 9 into equation that it
explained and n minus 8 permutation we
can write n minus K into - information
so now we'll replace these two values 1
& 2 here so 8 permutation can keep in it
and minus 8 we can say in his
computation we can say and let us see in
regular is my permutation in line
condition we can say I'm going into a
publication and a minus 9 permission you
can't eat that so n minus 9 competition
is wrong 8 million cut
so we'll say minus 8 is equal to 9 to
10:15 now me a value of n 17 so we have
NC 16 is equal to 17 C 16 17 C system is
nothing but 17 computation right
6 computation into one the validation
right seventh information about 70-80
fishing competition so this is equal to
C and that's the answer
now we'll solve the problem where we'll
use combination logic so here we have to
form committee of three person from
group of two men
and three women from this this is a
bigger set from this we have to mama
your three person how many ways it can
be done and also we another question in
this how many community will have one
mentoring so before going for the second
option let's go to the first thing so
first say is that we have to select free
people from Covidien by people so it can
be done in fine
see three ways right so if we swap I see
three facilities built if I envisioned
by three permutation in to prepare
mutation and this is equal to 5 into 4
into 3 facilitation by 3/3 rotation into
condition is a 2 and drinking she cancel
two conditions to so against this we
will get 10 not the second version and
how many ways this committee can consist
or one man to live so this will say one
man and two women so we have to find one
man from two men and two women from
Cleveland so this can be done
finding one man from man can be done by
to see one ways and finding true women
finding two women from three women can
be done ins CCTVs now you have to
combine this civil multiply so what we
get is 2 C 1 into please C 2 so on this
we are into so you have got to pull the
first case we have 5 people or the five
images select 3 without any restrictions
so we say 5 C 3 or 2 to 10 10
possibilities in second case you wanted
one men and two women so you select one
men we have to find from 2 so that can
be done in 2 C 1 this you select two
women we have to find Ramdev and only
that is 3 so
they say fizzy do until s3c to introduce
you my reading subtraction because we
are concerned about - last one so we are
saying - if this whole is a one
combination ma let's all some card
problem to make our life simple AB this
here where we are saying that 13 diamond
red card for your heart rate card
cooking club black card and spray black
card a jkq in the cognition their faces
three vases secret you just to make our
life easy
I have put this you have two Landers
cool see if you have in playing cards
you must be knowing this so they are
various questions and the first question
we have to find four cards and same so
sitting cushion you have to find four
card belong different soon and this
question Swami let's pick the first one
the first four cards from sales teams
you what does it mean that means all
cards should be either diamond or heart
all club or state so when I say I need
to select four from this publicity look
for possible answer is 13 see this is
one set of combination now we are saying
it can either be all heart so we'll say
plus again 13 see for for all the heart
now in scene clock for club also 13 see
fall because from 30 way selecting for
or spade also 13 0 you have to add all
this this time again on multiplying
because this is sacred combination this
if it combination so when you add
different combinations you add it but in
the last example when we are multiplying
it to two men and one men two women in
one men because we are trying to form
combination there here the stand alone
is a combination of the trick is since
we are trying to find four cards already
for there
that means this combinations complete we
are not supposed to add the last is
ample rate supposed to find three degree
right so we are saying to see one in two
three C 2 so it was three
till long-hair phone only one who is
remaining so we are multiplying it you
multiply or you can do multiple you add
this so it becomes 3 2 plus 1 is 3 that
means this set is complete head also
when we are trying to find only four
guards for didn't see what the sets
company this is a set for hard Diamond
this set for hard this for club this for
space you add all this thing and what
you get is done now let's unquestionable
in questionably 2 it says four guards
belong to four different zooms that
means one from this one from this one
from this one from this now in this case
when I say 13 C 1 that is I'd be drawing
one card from diamond but here you see
it till now but not only one
free-spending so my set is not completed
so L say multiply now say for hard but
hard also it is 13 C 1 this is done this
is done now from Club cut in C 1 and
then from speed your so 30 C 1 you
notice in this case we are multiplying
because this is not the complete
combination you have 1 plus 1 plus 1
plus 1 is the complete competition
because we're looking for four guards
here and this is the severe and we are
picking one card leash from different
sites and forming a combination
let's take example 3 when they are 3
fees they are saying all our face cards
and we have to select for so first find
out number of face guard so for each we
have 3 placed are JQ u 3 plus 3 6 9 12
so they are total 12 whisker it's the
bigger circle from this we are supposed
to find a smaller set of four for
whisker so the total solution is 12 C 4
and that is the answer this is the
number of selection or for face got from
the whole time because we are not able
to because
to enforce this car he also may not be
at the 13 because here we are talking
about payments and he only thirty
minutes here we're talking about hearts
and the only 14 Hertz hearing about
clubs and they're in running clubs here
dying for speed living fighting seems so
this contains the bigger set the bigger
set is diamond diamond delaford
agreements to study here this set
contains the number of faces and the
number of residual from dwell via
selecting for God the pipe now forth
motion to read and to a red car tend to
work black cars you read whoo laughs
right so total black card we know is 26
23 + 23 + red card we all know is also
26 we can see here they are 26 red and
parentheses so from 26 bigger said we
are supposed to find to and from 26
precipice point two in two plus two is
four
so that's why I will write this as 26
see to find two red card multiply this
with 26 et into blacker so this is the
answer for two red card into now let's
see the answer in pushing on fine now
they are seeing cars are of same color
that means I can either select for red
or remember when you see and multiply
this and this is to read and to black
nowadays poor Fred or poor blind so
black cards are 26 and red card up 36 so
we will select four cards from here 26
passages for God or 26 volker here it is
and we remember so we have said
something multiply normal save 26 C 4 is
the possibility for selection of 4 red
cards now say plus because we are
talking about all they say 26 C so this
for black this were red and this is Bob
laughs and this is the answer whole
thing is the possibility furnace
let's solve this again the fourth the
first question is for card from same
sword that means either for diamond or
for hard for Club for speed
there are or also we are seeing adding
and here from a set of 30 we are taking
for this is for hard or from 13 we are
taking for that is pearl diamond or from
today we are dealing for club or from 30
we are taking for speed
these are all we are adding this 13
supporting solutions
the next question is for cards belong to
different suit that means I am taking
one from this and one from this and one
from this imbalances so we have zinc
multiplied from 13 take 1 and into
cutting take 1 and 13 take 1 and 13 so
in this case itself we are supposed to
find face comes total face card is 24 12
and from there you find 4 6 2 LC 4 2 are
red to a black so it's to read and to
blank su-26 C 2 and C into V CC to go
read all format there is 36 c4 or as
plus organizing 0 I hope this example
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