SOLUTION: Suppose 9 cards are numbered with the 9 digits from 1 to 9. A 3-cards hand is dealt ,1 card at a time .How many hands are possible where: a) Order is taken into consideration? b)

Algebra ->  Permutations -> SOLUTION: Suppose 9 cards are numbered with the 9 digits from 1 to 9. A 3-cards hand is dealt ,1 card at a time .How many hands are possible where: a) Order is taken into consideration? b)      Log On


   

Question 364047: Suppose 9 cards are numbered with the 9 digits from 1 to 9. A 3-cards hand is dealt ,1 card at a time .How many hands are possible where:
a) Order is taken into consideration?
b) Order is not taken into consideration?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a)
nPr=n!/(n-r)!
9P3=9!/6!=504
.
b)
nCr=n!/((n-r)!r!)
9C3=9!/(6!*3!)=84
.
Ed