Question

Find the total ways of arrangement in a word "PROBABILITY" that the letter O and L should come at the end​

Answer 1

Given : word   PROBABILITY  

To Find :   Total ways of  arrangement in a word "PROBABILITY" that the letter O and L should come at the end​

Solution:

PROBABILITY  

P R A B B I I  T Y   OL

11 - letters

B - 2 times

I - 2 times

Now O and L comes at the end

so it can be in 2ways  OL  or LO

now remaining 9 letters ca be arranged  in 9!  ways

but B and I are repeated

Hence  9!/2!.2!

Total ways  = 2  x  9!/2!.2!

= 9!/2

= 3,62,880/2

= 1,81,440

1,81,440  ways of arrangement in a word "PROBABILITY" that the letter O and L should come at the end​

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