Bobhans-If-all-the-letters-of-the-word-MISSISSIPPI-are-written-down-at-random-the-probability-that-all-the-four-S-appear-consecutively-is-

Question Number 107659 by bobhans last updated on 12/Aug/20

\oint B obhans \oint

If all the letters of the word MISSISSIPPI are written down

at random, the probability that all the four S appear consecutively is___

Answered by bemath last updated on 12/Aug/20

⋇ B e M a t h ⋇

n (A) = ⊡ ⊡ ⊡ ⊡ - - - - - - - = 8 \times \frac{7!}{4! . 2!}

⊡ = l e t t e r o f S

n (S) = \frac{11!}{4! . 4! . 2!}

p (A) = \frac{8.7!}{4! . 2!} \times \frac{4! . 4! . 2!}{11!} = \frac{8 \times 24 \times 7!}{11.10.9.8.7!}

= \frac{24}{11.10.9} = \frac{4}{11.15} = \frac{4}{165} .

Commented by bobhans last updated on 12/Aug/20

yes . . correct

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