What will be the number of ways to arrange 10 elements out of which 6 are repeated.
720
5040
1000
10!
Answers
Answered by
6
720What will be the number of ways to arrange 10 elements out of which 6 are repeated.
720
5040
1000
10!
Answered by
0
Answer:
We can solve this task in 2 ways:
We can choose 1 letter at a time and see in how many ways can it be chosen.
First letter can be chosen from all
10
, next from
9
, third from
8
and so on until you have only one letter left.
So the number of ways to arrange the letters can be calculated as:
n
=
10
×
9
×
8
×
7
×
6
×
5
×
4
×
3
×
2
×
1
=
3
,
628
,
1000
Other way can be to treat the possible arrangement as a permutation of
10
element set. The number of permutations can be calculated as:
P
n
=
n
!
=
1
×
2
×
...
×
n
Step-by-step explanation:
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