Thread: What is the difference between the Permutations and combinations

1. What is the difference between the Permutations and combinations

Hi

I want simple explanation of the Permutations and combinations and wich one has condition and I want simple example to undersand it

2. Permutations are order driven.
Combinations are content driven

Suppose there is a group of twenty people.
If we select a president, vice president, and a secretary, how many ways can that be done?
If we select a subgroup of three members to plan the annual picnic, how many ways can that be done?

Now one of those to situations has to do with order? Permutation
Which has to do with content alone? Combination

3. I put 3 example and I want explaine if it Permutations or combinations
and why ? beacuse I still don't understood clearly

----

1 ) Find the number of combinations of 30 objects taked 4 at time .
2 ) From a committee of 7 people in how many ways can we chose a subcommitte of 2 peple ?
3 ) How many subcommittees of 3 people can be chosen from a committe of 8 people ?

4. Does any one of those three have anything to do with order?

5. I think numer one beacuse here ( conditin ) taked 4 at time ?

6. No. None of those has anything to do with order.
They are all combinations.
#1 even says "how many combinations...".

7. ahhhhh now ok

I try to solve this queation and see >>

suppose 9 cards are numbered with the 9 digits from 1 to 9 . A 3 card hand is dealt , 11 card at time . How many hands are possible where :

I ) order is taken into considreation
II ) order is not taken into considreation

I ) 9P3 = 504
II) 9C1 = 9

----

Q2 : From a standerd 52 card deack how many 5 card hands will have all face cards ? ( consider only Jaks , queens and kings to be the face card ?

13C3.13C2
= 22.308