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How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

aditya kashyap , 11 Years ago
Grade upto college level
anser 5 Answers
Latika Leekha

Last Activity: 10 Years ago

We have the word MISSISSIPPI
In this word there are 4 I’s, 4 S’s, 2 P’s and 1 M.
No two S should be together, hence we can place S at these places
_ M _ I _ I _ I _ I _ P _ P _ .
Therefore, the possible number of words is given by 8C4 . 7! / 4!2!.
= 8C4 . 7 .6! / 4. 2!
= 7. 8C4 . 6C4
This is the required answer.
Thanks & Regards
Latika Leekha
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Samar Zaidi

Last Activity: 7 Years ago

After 4 she forgot to add "!"It should be 6!/(4!2!). But her explanation was perfect. Because of this it become difficult to understand the problem

Manoj gupta

Last Activity: 7 Years ago

You have not arrange S`s because we have to arrange s also bug all of your explanation is perfect so please correct it if I am wrong them tell me the reason

Pragyanam Dubey

Last Activity: 6 Years ago

Their is no need to arrange  S's as they are identical.even if u have to arrange by multiplying by 8! then u must have to divide by 8! As all S are identical

Yash Chourasiya

Last Activity: 4 Years ago

Dear Student

The given word isMISSISSIPPI
In this word there are 4 I’s, 4 S’s, 2 P’s and 1 M.
Other thanS, seven lettersM,I,I,I,P,P,Ican be arranged in (4!*7!)/2! ​=3.7C4
Now, fourScan be placed in8spaces in the 8C4​ways.
Desired number of ways=3.7C4​.8C4​

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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