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Questions >> JEEMAIN and NEET >> Mathematics >> Class11 >> Sets

If the set $S={1,2,3...........12}$ is to be partitioned into 3 sets A,B,C of equal size so that $A\cup\:\:B\cup\:C=S\:and\:A\cap\:B=B\cap\:C=C\cap\: A=\phi$ , then the number of ways the partition can be done is equal to: $(A)\:\:\:\large \frac{12!}{3!(3!)^4}\quad$ $(B)\:\:\:\large \frac{12!}{(4!)^3}\quad$ $(C)\:\:\:\ \large \frac{12!}{(3!)^3}\quad$ $(D)\:\:\: \large \frac{12!}{3!(4!)^3}\quad$

answered Dec 28, 2018 by ravindrayadav78795

1 answer

If the set $S={1,2,3...........12}$ is to be partitioned into $3$ sets $A,B,C$ of equal size so that $A\cup B\cup C=S$ and $A\cap B=B\cap C=C\cap A=\phi$ , then the no. of ways the partition can be done is

answered Nov 6, 2013 by balaji.thirumalai

1 answer

If $P=\{x:sinx-cosx=\sqrt2 cosx\}$ and $Q=\{x:sinx+cosx=\sqrt 2 sinx\}$ then which of the following is true ?

answered May 30, 2013 by rvidyagovindarajan_1

1 answer

What type of set is "The set of poor students of a class"?

answered May 30, 2013 by rvidyagovindarajan_1

1 answer

Find the value of $\phi'$

answered May 30, 2013 by rvidyagovindarajan_1

1 answer

If $n(A\times B)=8,$ then how many possible values are there for $n(A)?$

answered May 30, 2013 by rvidyagovindarajan_1

1 answer

What type of set is "The collection of novels written by Munshi Premchand" ?

answered May 30, 2013 by rvidyagovindarajan_1

1 answer

$A\cap (A\cup B)$ = ?

answered May 21, 2013 by rvidyagovindarajan_1

1 answer

If $S_1=\{1,2,...................20\}$ , $S_2=\{a,b,c,d,e\}$ , $S_3=\{a,c,e,f\}$ , then no. of elements of $(S_1\times S_2)\cap (S_1\times S_3)$ is ?

answered May 18, 2013 by rvidyagovindarajan_1

1 answer

The set that cannot be represented by roster form is:

answered May 17, 2013 by rvidyagovindarajan_1

1 answer

How is Null set represented in set builder form ?

answered May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cap B=B$ then what can you say about $A$ and $B$ ?

answered May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cup B=A,\:\:$ then what can you say about $A$ and $B$ ?

answered May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]'$ = ?

answered May 15, 2013 by rvidyagovindarajan_1

1 answer

How many proper subsets are there for a set having 5 elements ?

answered May 15, 2013 by rvidyagovindarajan_1

1 answer

If $V=\{x:\:x+2=0\}$ , $\:R=\{x:\:x^2+2x=0\}$ and $\:\:S=\{x:\:x^2+x-2=0\}$ , then for what value of $x$ , $V=R=S$ ?

answered May 15, 2013 by rvidyagovindarajan_1

1 answer

If $A\:and\:B$ are two sets such that $(A-B)\cup B=A$ , then what can you say about $A\:and\:B$ ?

answered May 4, 2013 by rvidyagovindarajan_1

1 answer

The no. of subsets of a finite set A is 56 more than the no. of subsets of another finite set B. What is the no. of elements of A?

answered May 1, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x\;/\;x\in\:N, \:$ and $\:x$ is a multiple of $3$ $\leq100\}$ and $B=\{x/x\in\:N\:$ and $\:x$ is multiple of $5$ $\leq\:100\}$ , then no. of elements in $(A\times\:B)\cap\:(B\times\:A)\:is$

answered Apr 29, 2013 by rvidyagovindarajan_1

1 answer

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