document.write( "Question 410007: In how many different ways can the letters of the word “trigonometry” be arranged if a vowel must be the first letter of each permutation? \n" ); document.write( "

Algebra.Com's Answer #288474 by sudhanshu_kmr(1152) $\"\"$ $\"About$

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here total 12 letters...\r
\n" ); document.write( "\n" ); document.write( "no. of t = 2\r
\n" ); document.write( "\n" ); document.write( "no. of r = 2 \r
\n" ); document.write( "\n" ); document.write( "no. of o = 2\r
\n" ); document.write( "\n" ); document.write( "and others are single.\r
\n" ); document.write( "\n" ); document.write( " No. of different vowels = 3 (i,o and e)\r
\n" ); document.write( "\n" ); document.write( "no. of ways to arrange 11 letters when 'I' at first place = 11!/ [2! * 2! * 2!]\r
\n" ); document.write( "\n" ); document.write( "= 4989600\r
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\n" ); document.write( "\n" ); document.write( "no. of ways to arrange 11 letters when 'O' at first place = 11!/ [2! * 2! ] \r
\n" ); document.write( "\n" ); document.write( "= 9979200\r
\n" ); document.write( "\n" ); document.write( "no. of ways when 'E' at first place = 11!/ [2! * 2! * 2!]\r
\n" ); document.write( "\n" ); document.write( "= 4989600\r
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\n" ); document.write( "\n" ); document.write( "total no. of ways when vowel at the first letter = 4989600 + 9979200 + 4989600\r
\n" ); document.write( "\n" ); document.write( "= 19958400\r
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\n" ); document.write( "\n" ); document.write( "try to understand the concept and solve it yourself....
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