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Find the number of arrangements of the letters of the INDEPENDENCE. In how many of these arrangements,(i) do the words start with P(ii) do all the vowels always occur together(iii) do the vowels never occur together(iv) do the words begin with I and end in P? |
Answer» total arrangements = `(12!)/(3!2!4!)` (i) `P -----------` `= (11!)/(3!2!4!)` (ii) `= (8!)/(3!2!)*(5!)/(4!)` (iii) `(12!)/(3!2!4!) - (8!5!)/(3!2!4!)` (iv) `I ---------- P` `= (10!)/(3!2!4!)` answer |
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