Let N be the set of natural numbers and P be the set of prime integers in N- If A-n-n- N- n is a multiple of some prime p- P- then N-A-n - N-n- A is

The cardinality of a universal set, set A and set B are represented as n(U), n(A), n(B) respectively. Find the cardinality of the set which does not contain elements of set A and set B.

Q. Let

P (A)

represents the power set of the

A

and

n (A)

represents the cardinal number of

A

. If

n (P (P (B))) + n (P (P (A))) = 20

then

n (A) + n (B)

is equal to

Q. If A is a finite set, let P(A) denote the set of all subsets of A and n(A) denote the number of elements in A. If for two finite sets X and Y,

n [P (X)] = n [P (Y)] + 15

then find n(X) and n(Y).

Q. If A is a finite set, let

P (A)

denote the set all subsets of A and

n (A)

denote the number of elements in A. If for two finite sets X and Y,

n [P (X)] = n [P (Y)] + 15

then find

n (X)

and

n (Y)

Join BYJU'S Learning Program

Let N be the set of natural numbers and P be the set of prime integers in N. If A={n/n∈N,nisamultipleofsomeprimep∈P}, then N−A={n∈N/n∉A} is

The correct option is D A singleton setN={1,2,3,.......}P={2,3,5,7,.....}A={2,3,4,5,6,7,........}N−A={1}

Let $N$ be the set of natural numbers and $P$ be the set of prime integers in $N$ . If $A = {\begin{matrix} n / n \in N, n i s a m u l t i p l e o f s o m e p r i m e p \in P \end{matrix}}$ , then $N - A = {\begin{matrix} n \in N / n \notin A \end{matrix}}$ is

The correct option is D A singleton set
$N = {\begin{matrix} 1, 2, 3, . . . . . . . \end{matrix}}$
$P = {\begin{matrix} 2, 3, 5, 7, . . . . . \end{matrix}}$
$A = {\begin{matrix} 2, 3, 4, 5, 6, 7, . . . . . . . . \end{matrix}}$
$N - A = {\begin{matrix} 1 \end{matrix}}$