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