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All the letters of the word 'AGAIN' be arranged and the words thus formed are known as 'Simple Words'. Further two new types of words are defined as follows: (i) Smart word: all the letters of the word 'AGAIN' are being used, but vowels can be repeated as many times as we need. (ii) Dull word: All the letters of the word 'AGAIN' are being used, but consonants can be repeated as many times as we need. Q. Number of 7 letter dull words inw hich no two vowels are together, is |
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Answer» 402 `{{:("XNXGXNXNX"),("OR"),("XNXGXGXGX"),("OR"),("XNXGXGXNX):}` Hence, required number of ways `=.^(5)C_(3)xx(3!)/(2!)xx{(4!)/(3!)+(4!)/(3!)+(4!)/(2!2!)}` `=30(4+4+6)=420` |
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