What will be the number of ways to arrange 10 elements out of which 6 are repeated. 720 5040 1000 10! Question What will be the number of ways to arrange 10 elements out of which 6 are repeated. 720 5040 1000 10! in progress 0 Math Liliana 2 weeks 2021-10-05T06:10:46+00:00 2021-10-05T06:10:46+00:00 2 Answers 0 views 0

## Answers ( )

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

,

1000Other 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:720What will be the number of ways to arrange 10 elements out of which 6 are repeated.

720

5040

1000

10!