Home
Class 11
MATHS
If P=(a,b,c) and Q=(1,2), then the total...

If `P=(a,b,c) and Q=(1,2)`, then the total number of relations P to Q are not functions is

A

56

B

8

C

9

D

55

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
Total number of relations from A to B=`2^(3xx2)=64`
Total number of functions from A to B=`2^(3)=8`
Total number of relations which are not functions.
=64-8=56
Promotional Banner

Similar Questions

Explore conceptually related problems

If P={1,3},Q={2,3,5} ,then find the number of relations from P to Q

If P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions from P to Q is

If A = {p,q,r, s} and B = {1, 2, 3} , find which of the following is not a function from A to B? A. R_1={(p,1),(q,2),(r,1),(s,2)} B. R_2={(p,1),(q,1),(r,1),(s,1)} C. R_3={(p,1),(q,2),(p,2),(s,3)} D. R_4={(p,2),(q,3),(r,2),(s,2)} ANSWER: C

Two finite sets A and B have p and q elements respectively (p>q). The number of subsets of power set of A is 240 more than the total number of subsets of power set of B.Then p+ q is

If n(B)=p,n(B)=q and total number of functions from A to B is 343, then p-q (A) 3 (B) -3 (C) 4 (D) none of these

If ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p^a q^b , then the value of a+b where p and q are different positive primes is- यदि ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p^a q^b है, तो a+b का मान क्या है जिसमें p और q विभिन्न धनात्मक अभाज्य है?

SECTION MULTIPLE CORRECT CHOICE TYPE Example 41 Let a, b, c , p, q be five different non-zero real numbers and x, y, z be three numbers satisfying the system of equations a a-p aq then (a) x + y + z = a + b + c-p-q abc (b) x = pq 0 in (c) y = (a-p)(h-p)(c-p) p(p-q) (a-q)(b-q)(c-q) aq-p) (d) z = b.

If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are in G.P ., then the common difference of A.P is