Evaluate: 7 !

Determine the contrapositive of the following statements: Only if Max studies will he pass the test.

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Write the number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines.

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Write the number of ways in which 12 boys may be divided into three groups of 4 boys each.

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The given following sets are finite & in which of it infinite in if?
$\{\text{x}\in\text{N}:\text{x}<200\}$

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Taking the set of natural numbers as the universal set, write down the complement of the set:$\{ x:x \in N\,\,and\,\,2x + 1 > 10\}$

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Find out the following sentences are statements and which are not. Justify your answer. Are all circles round?

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Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

a. {1, 2, 3, 6}	i. {x : x is a prime number and a divisor of 6}
b. {2, 3}	ii. {x : x is an odd natural number less than 10}
c. {M,A,T,H,E,I,C,S}	iii. {x : x is natural number and divisor of 6}
d. {1, 3, 5, 7, 9}	iv. {x : x is a letter of the word MATHEMATICS}.

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The given following sets are finite & in which of it infinite in if?
Set of letters of the English Alphabets;

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If A $\subset$ B and B $\subset$C , then A $\subset$C.If it is true, prove it. If it is false, give an example.

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Write the negation of the following statements: r: There exists a number x such that 0 < x < 1.

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Answer