document.write( "Question 1173844: In a school, every grade 10 student needs to study 7 subjects out of 14. It is given that 4 of them
\n" ); document.write( "are core subjects, and the rest are optional. How many arrangements of the subjects are
\n" ); document.write( "available for the student?
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Algebra.Com's Answer #799154 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "In a school, every grade 10 student needs to study 7 subjects out of 14. It is given that 4 of them
\n" ); document.write( "are core subjects, and the rest are optional. How many arrangements of the subjects are
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document.write( "Every student must take 4 core subjects, and a student should take 3 additional subjects, selecting them\r\n" );
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document.write( "from  14-4 = 10 remaining optional subjects.\r\n" );
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document.write( "So, the total number of all possible combinations is   =  = 120.     ANSWER\r\n" );
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