document.write( "Question 1207575: A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, 4, 6, 6, 1, 5 is one possible sequence.) \n" ); document.write( "

Algebra.Com's Answer #845532 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A standard six-sided die is rolled 7 times. You are told that among the rolls, there was one 1, one 2,
\n" ); document.write( "one 3, one 4, one 5, and two 6's. How many possible sequences of rolls could there have been?
\n" ); document.write( "(For example, 2, 3, 4, 6, 6, 1, 5 is one possible sequence.)
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document.write( "In 1st position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "In 2nd position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "In 3rd position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "In 4th position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "In 5th position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "In 6th position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "In 7th position, any number from 1 to 6 inclusive, can be.\r\n" );
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document.write( "The numbers in i-th position are independent on the numbers in j-th position.\r\n" );
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document.write( "From it, it is obvious, that the number of all possible sequences is  = 279936.    ANSWER\r\n" );
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