12
TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
06/17/99 4:31 PM Printed: 06/17/99 4:32 PM Page 12 of 21
Probability
A combination is an arrangement of objects in which
order is not important, as in a hand of cards.
"
i
calculates the number of possible combinations of
n
items taken
r
at a time.
Calculate the number of 5-card poker hands that can be
dealt from a deck of 52 cards.
52
"
i
5
J
2598960.
A permutation is an arrangement of objects in which
the order is important, as in a race.
"
j
calculates
the number of possible permutations of
n
items taken
r
at a time.
Calculate the number of possible permutations for the
1st-, 2nd-, and 3rd-place finishers
(
no ties
)
in an 8-
horse race.
8
"
j
3
J
336.
A factorial is the product of the positive integers from 1
to
n
. (
n
must be a positive whole number
69).
Using the digits 1, 3, 7, and 9 only one time each, how
many 4-digit numbers can you form?
4
"
v
24.