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How many words, with or without meaning, each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE? |
Answer» vowels= I,O,U,E consonants = N, V,L,T total words`= (.^4C_3 .^4C_2) .^5P_5` `= (4!)/(1!*3!)*(4!)/(2!*2!)*(5!)/(5-5)!` `= 4 * (4*3*2)/4 * 5!` `= 24*120` `=2880` answer |
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