Using Permutations and Combinations in Probability
Statistics and Probability · Flashcards · Recall
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
State the formula for the combination of
n
n
n
objects taken
r
r
r
at a time,
C
(
n
,
r
)
C(n,r)
C
(
n
,
r
)
.
QUESTION
State the multiplication rule for counting outcomes in a multi-stage process.
QUESTION
State the formula for permutations of
n
n
n
items taken
r
r
r
at a time,
P
(
n
,
r
)
P(n,r)
P
(
n
,
r
)
.
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ANSWER
P
(
n
,
r
)
=
n
!
(
n
−
r
)
!
P(n,r)=\frac{n!}{(n-r)!}
P
(
n
,
r
)
=
(
n
−
r
)!
n
!
. Order matters, so divide
n
!
n!
n
!
by
(
n
−
r
)
!
(n-r)!
(
n
−
r
)!
to remove unused items.
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