what is the value of 11p4
Answers
Answered by
1
Explain the question please
Ramanan2018:
Hi
hy
this question is based on permutations
Oh fine
The formula for permutations is:
P
(
n
,
r
)
=
n
!
(
n
−
r
)
!
or in this form
=
n
P
r
=
n
!
(
n
−
r
)
!
. Using the givens we know:
n
=
11
and
r
=
4
. Inputting values:
=
11
P
4
=
11
!
(
11
−
4
)
!
Simplifying:
=
11
P
4
=
11
!
7
!
Since
7
!
=
7
⋅
6
⋅
5
...
and
11
!
=
11
⋅
10
...
⋅
7
⋅
6
⋅
5
...
we can cancel out the factors from 7 on down to get:
=
11
⋅
10
⋅
9
⋅
8
which equals to:
7920
P
(
n
,
r
)
=
n
!
(
n
−
r
)
!
or in this form
=
n
P
r
=
n
!
(
n
−
r
)
!
. Using the givens we know:
n
=
11
and
r
=
4
. Inputting values:
=
11
P
4
=
11
!
(
11
−
4
)
!
Simplifying:
=
11
P
4
=
11
!
7
!
Since
7
!
=
7
⋅
6
⋅
5
...
and
11
!
=
11
⋅
10
...
⋅
7
⋅
6
⋅
5
...
we can cancel out the factors from 7 on down to get:
=
11
⋅
10
⋅
9
⋅
8
which equals to:
7920
Sry
find the number of arrangements of 5 things taken out of 12 things in which one particular thing must always be included?
Answered by
1
Complete your question
Dude
its permutation question
i find the value of 11p4
find the number of arrangements of 5 things taken out of 12 things in which one particular thing must always be included?
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