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QJEEAdv05Ma3b29: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Ma3b29 Solution

The value of </mo></mrow><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>10</mn></mrow></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mo>−</mo><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>11</mn></mrow></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mo>+</mo><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>12</mn></mrow></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>+</mo><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>20</mn></mrow></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow><mrowdata−mjx−texclass="INNER"><modata−mjx−texclass="OPEN">(</mo><mrowdata−mjx−texclass="ORD"><mtablerowspacing="4pt"columnspacing="1em"><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrowdata−mjx−texclass="ORD"><mn>30</mn></mrow></mtd></mtr></mtable></mrow><modata−mjx−texclass="CLOSE">)</mo></mrow></math></mjx−assistive−mml></mjx−container></mjx−assistive−mml></mjx−container></mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>10</mn></mrow></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>11</mn></mrow></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>12</mn></mrow></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>20</mn></mrow></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mn>30</mn></mrow></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container>
is where (nr)=nCr

Multiple Choice Options

  • A (30 10)
  • B (30 15)
  • C (60 30)
  • D (301 10)

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