Question

ln how many ways, the letters of the word 'PERSON', can be placed in the squares of the

Answer 1

in the squares of???? it os incomplete answer first complete ur answer then post it ok. Thank u

Answer 2

There are 6 different letters. We have to select 6 squares, taking at least one from each row and then arranging in each selection. Let us first select places in each row such that no row remains empty.

R  

1

​  

 R  

2

​  

 R  

3

​  

 Number of selections

1 1 4  

2

C  

1

​  

×  

2

C  

1

​  

×  

4

C  

4

​  

=4

1 2 3  

2

C  

1

​  

×  

2

C  

2

​  

×  

4

C  

2

​  

=8

2 1 3  

2

C  

2

​  

×  

2

C  

1

​  

×  

4

C  

3

​  

=8

2 2 2  

2

C  

2

​  

×  

2

C  

2

​  

×  

4

C  

2

​  

=6

Therefore, the total number of selections of 6 squares is 4+8+8+6=26. For each selection of 6 squares, the number of arrangements of 6 letters is 6!=720. Hence, the required number of ways is 26×720=18720.