Primary amines have lower boiling points than

If A, B and C are sets and * stands for complementation then<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>{</mo><mrow><mo>(</mo><mi>A</mi><mo>∩</mo><mi>B</mi><mo>)</mo></mrow><mo>∪</mo><mi>C</mi><mo>}</mo></mrow><mo>*</mo><mo>=</mo></math>

<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>&nbsp;Given&nbsp;</mtext><mi>n</mi><mo>(</mo><mi>U</mi><mo>)</mo><mo>=</mo><mn>20</mn><mo>,</mo><mi>n</mi><mo>(</mo><mi>A</mi><mo>)</mo><mo>=</mo><mn>12</mn><mo>,</mo><mi>n</mi><mo>(</mo><mi>B</mi><mo>)</mo><mo>=</mo><mn>9</mn><mo>,</mo><mi>n</mi><mo>(</mo><mi>A</mi><mo>∩</mo><mi>B</mi><mo>)</mo><mo>=</mo><mn>4</mn><mo>,</mo><mtext>&nbsp;where&nbsp;</mtext><mi>U</mi><mtext>&nbsp;is the universal set,&nbsp;</mtext><mi>A</mi><mtext>&nbsp;and&nbsp;</mtext><mi>B</mi><mtext>&nbsp;are subsets of&nbsp;</mtext><mi>U</mi><mo>,</mo><mtext>&nbsp;then&nbsp;</mtext></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mfenced separators="|"><mrow><mo>(</mo><mi>A</mi><mo>∪</mo><mi>B</mi><msup><mo>)</mo><mi>C</mi></msup></mrow></mfenced><mo>=</mo></math>

In statistical survey of 1003 families of Kolkata, it was found that 63 families has neither a radio nor a TV 794 families has a radio and I87 has TV. The number of families in that group having both a radio and a TV is

A={x:x∈R,|x|&lt;1} &nbsp; B={x:x∈R,|x-1|≥1} and A∪B=R-D Then D=

Let N be the number of ordered pairs of non-empty sets A and B that have the following properties<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>&nbsp;i)&nbsp;</mtext><mi>A</mi><mo>∪</mo><mi>B</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>9</mn><mo>,</mo><mn>10</mn><mo>,</mo><mn>11</mn><mo>,</mo><mn>12</mn><mo>}</mo></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>&nbsp;ii)&nbsp;</mtext><mi>A</mi><mo>∩</mo><mi>B</mi><mo>=</mo><mi>ϕ</mi></math>iii) The number of elements of A is not an element of Aiv) The number of elements of B is not an element of B. Then N is equal to

Primary amines have lower boiling points than

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material