Number of Possible 3-Card Hands with and without Order Consideration

[r-soy]

Q : Suppose 9 cards are number with the 9 digits from 1 to 9 . A 3-card hand is dealt, 1 card at a time . How many hands are possible where :

1 ) Order is taken into consideration ?

2 ) order is not taken into considreation ?


----------Ansewr >>


1 - 9C3 X 9C1 = 84 X 9 = 756

2 - 9P3 X 9P1 = 504 X 9 = 4536

 

[vela]

Could you please elaborate on your thinking behind your answers?

You have C and P backwards. Combinations is when you don't care about the order; permutations is when you do. "123" and "321" are the same combination, but they are two possible permutations of 1, 2, and 3.

Q : Suppose 9 cards are number with the 9 digits from 1 to 9 . A 3-card hand is dealt, 1 card at a time . How many hands are possible where :

1 ) Order is taken into consideration ?

2 ) order is not taken into considreation ?


----------Ansewr >>


1 - 9C3 X 9C1 = 84 X 9 = 756

2 - 9P3 X 9P1 = 504 X 9 = 4536

 

[r-soy]

Is my answer correct ?

 

[statdad]

Is my answer correct ?

read vela's post.

 

[r-soy]

The ansewr now correct ?

1 - 9P3 X 9P1 = 504 X 9 = 4536

2 - 9C3 X 9C1 = 84 X 9 = 756

 

[vela]

No, they are not.

 

[r-soy]

Help me Give me the answer

 

[Hurkyl]

No .

 

[r-soy]

I tay agine

1 - 9C2 X 9C1 = 36 X 9 = 324

2 - 9P2 X 9P1 = 72 X 9 = 648

 

[Hurkyl]

Please elaborate on your thinking behind your answers?

 

[r-soy]

I can't try more thanks all