Combinations and Permutations
Combinations and Permutations
Permutation and combination related questions are common in PSC and Bank exams.
Before going to Combinations and Permutations, first lean about factorial.
If n is a positive integer then, factorial of n is denoted as n!.
5! = ( 1 x 2 x 3 x 4 x 5 ) = 120
4! = (1 x 2 x 3 x 4 ) = 24
Permutations are for lists of items, whose order matters and combinations are for group of items where order doesn’t matter. in other words,
- When the order of items doesn\\\'t matter, it is called as Combination.
- When the order of items does matter it is called as Permutation.
The number of permutations of n objects taken r at a time is determined by using this formula:
P(n,r)=n!/(n−r)!
Permutation: Listing your 3 favourite football team in order, from list of 10 teams. P(10,3) = 720.
The number of combinations of n objects taken r at a time is determined by using this formula:
C(n,r)=n!/((n−r)!r!)
Combination: Picking a team of 3 people from a football coaching group of 10. C(10,3) = 10!(3!(10−3)!) = 120.
കരസേനയിലെ റാങ്കുകൾ. Code: ജലജ മേജർ ജനറലിനോട് ബിയറിനായി കേണു എൽ സി.ക്ക് മേജറിന്റെ ക്യാപ് ലഭിച്ചു. .
1. ജ : ജനറൽ.
2. ലജ : ലഫ്. ജനറൽ.
3. മേജർ ജനറൽ : മേജർ ജനറൽ.
4. ബിയർ : ബ്രിഗേഡിയർ.
5. കേണു : കേണൽ.
6. L. C : ലഫ്.കേണൽ.
7. മേജർ : മേജർ.
8. ക്യാപ് : ക്യാപ്ടൺ.
9. ലഭിച്ചു : ലഫ്റ്റനന്റ്.
ഇന്ത്യൻ കരസേനയുടെ ഗാനം: മേരാ ഭാരത് മഹാൻ.
ഇന്ത്യൻ സായ...
BODMAS is an acronym and it stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. .
This explains the order of operations to solve an expression. According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve/simplify the bracket followed by of (powers and roots etc.), then division , multiplication , addition and subtraction from left to right. .
Example :.
7 + (6 × 52 + 3) = 7 + (6 × 25 + 3).
7 + (150 + 3).
7 + (153).
7 + 153 .
Ans: 160. .
...
Code -“BHAJI SABJI FOR MAASAAB”.
B : Babur.
H : Humayun.
A : Akbar.
JI : Jahangir.
S : Shah jahan.
A : Aurangazeb.
B : Bahadur shah.
JI : Jahandar shah.
For : Farrukhsiyar.
M : Muhammad Shah.
A : Ahmad Shah.
A : Alamgir II.
SA : Shah Alam II.
A : Akbar II.
B : Bahadur Shah Zafar.
...
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