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How many difference words can be formed by jumbling the letter

Question

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

8 \times_{6} C_{4} \times 7

6 \times_{6} C_{4} \times^{8} C_{4}

6 \times_{6} C_{4} \times^{7} C_{4}

7 \times_{6} C_{4} \times^{8} C_{4}

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

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Text solutionVerified

M I SS I SS I PP I

M - 1

S - 4

I - 4

P - 2

For all 'S' seperate using gap method

M, I, P \to 7

(\frac{7 !}{4 ! 2 !}) \to

arrangement of all Alphabet it creates 8 gaps.

se l ec t i o n o f 4 g a p s ↓ 8 C_{4}

a rr an g e m e n t o f 4 s^{'} ↓ (1)

\frac{7 !}{4 ! 2 !} = 8_{C_{4}} .7. 6_{C_{4}}

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Question Text	How many difference words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent
Answer Type	Text solution:1
Upvotes	150