Permutation Combination
12
ofwaysis "noofwaysis
NO .
or
of of
**
Fru BK
AK
on
3 ways
*
Ange
- -
:
AB
A
Or
PI P2
-ase
A, A A A A
Ap ***
,
or
Pl P2
Factorial !
m
Permutation :
5
!
7 ,
=
5X4X3X2 X /
1 ! = 1 0% =
I
M
Pr => arrang ing"" things out
of "2"
#Obvious
eg)
"Pr =
c) !
5P3 =, !
↓
"No of
.
Permutations" L =
../
S 2!
of ways
=
no
24
of arranging 3
=
things out of 5
I =
a re ! I of
no of ways
selecting 3
out-of
things 5
9)
5C = B =
=
*
#
5Co
"Co
=
=
1
1
=
=
5Cf
Co
!To e
*
eg) 6 =
Ps -
2
=
Cy
eg) 10 Cz =
10c7
eg) MATHS. => NO of ways of all
.
arranging
the letters
.
⑦ + * = =
=
**
⑰ 55132L ** THES
5! =
-
a TABLET I the word
arrange
San :
#Essamese e
, =
z =
T
9) MISSISSIEPE
!
(Us) (2P) (4I's)
56
④
----- -
=
LO
- -
MG -
C
M2M
m, m
, My
M, M2
③ /
*
! X4 !
- - - - - -
- u 2
!
4
2 !
=>
S
m, Ms
/ / My MG .
⑮
② 4
-
4! =
5 X4X4
Wa
② -m
-----
9) - - - - -
5 = 120
=
2
4, 6
-
2,
4 !
odd = 24 x2 =
⑪ even =
120-48 =
Q odd/40000 Y
** 4 /$ 6
/
2, , ,
19
-
* =
,G
- = 2 x3 ! =
I =
T 18 =
2 zw ,
4m
! x4
2 !
T
③ 2
.
- . . . .
4
.
⑭ Im
--
U ! 2 x 4 ! X4 =
④ mm
-
=> 1
°
-
⑫°
⑫
unit
Yo's T Total =
3
3 ! x 4 ! (internal arrangement for men)
= 6 x 24
=
/144
② Total =
6 ! =
ElUnitywoentoge
a
720-240 =
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
279 - (0606-W 2016-Paper 1/3-Q9) - PERMUTATION AND COMBINATION
IOB 84
"
= -r !
4 I 10 x 82
,
18(5
=si
t
3 2 1023 x 8 C2
+
xxxMx
2
3 182 x 8C
I ,
=
t
I 4 10c ,
x
8
Ch
m
co
e.
at
-m
m
xa
Fa
.e
w
w
w
, 1841
-*②
--
Total -
NO symbols
186 -
FC6
2012 - 2019 293 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
280 - (0606-S 2017-Paper 1/2-Q8) - PERMUTATION AND COMBINATION Permutation
Y -
6X5X4X3X /
- I 131
- *
=O
-Ph -P4x3 +
9
m
*
co
I e.
5P3 1 3x5P3X/ =10
at
3 - -
D
-m
6
X E t
m
5P3 2x P3
==
Case 2:
=
xa
-
->
-
= -°
-
.e
·
w
v
2527
w
1522 x 10 C5
w
etire both
:
non
e
② 23 F
Cz
Cy
2012 - 2019 294 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
281 - (0606-W 2017-Paper 1/1-Q8) - PERMUTATION AND COMBINATION
P I
m
co
e.
at
-m
-
>
m
xa
Both
.
.e
- -
Ane
w
#
Tx5cy
w
w
2012 - 2019 295 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
m
co
e.
at
-m
m
xa
.e
w
w
w
2012 - 2019 296 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
282 - (0606-W 2017-Paper 1/3-Q9) - PERMUTATION AND COMBINATION
m
co
e.
at
-m
m
xa
.e
w
w
w
2012 - 2019 297 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
283 - (0606-S 2019-Paper 1/2-Q6) - PERMUTATION AND COMBINATION
m
co
e.
at
-m
m
xa
.e
w
w
w
4w
EM
RC6 = 825x4C
4 #
2
824 x 4(
3 3
# 82,x "C
2 4
w
#
2012 - 2019 298 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
284 - (0606-S 2019-Paper 1/3-Q9) - PERMUTATION AND COMBINATION
m
co
e.
at
-m
m
xa
.e
w
w
w
2012 - 2019 299 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
285 - (0606-W 2019-Paper 1/3-Q7) - PERMUTATION AND COMBINATION
m
co
e.
at
-m
m
xa
.e
w
w
w
2012 - 2019 300 Powered By : www.exam-mate.com
IGCSE Cambridge ADDITIONAL MATHEMATICS - P1 CH11 - Permutation & Combination
286 - (0606-W 2019-Paper 1/1-Q11) - PERMUTATION AND COMBINATION
m
co
e.
at
-m
m
8B LOG
xa
8C6 6 O
.e
+ 8 10 I
w
Gx ,
5
4 2
w
+
84qx18 2
w
-
°
-- -
2012 - 2019 301 Powered By : www.exam-mate.com
