Question

A{ 2,3,5}விருந்து Bஎன்ற கணத்திற்கு 512 உறவுகள் உள்ளது. எனில் B-ல் உள்ள உறுப்புகளின் எண்ணிக்கை​

Answer 1

108 elements are present in set B

Answer 2

SOLUTION

GIVEN

• A = { 2 , 3 , 5 }

• There are 512 relations from A to B

TO DETERMINE

The number of elements in B

EVALUATION

Here it is given that

A = { 2 , 3 , 5 }

∴ n(A) = 3

Let the number of elements in B = m

∴ n(B) = m

Now it is given that there are 512 relations from A to B

So by the given condition

$\sf{ {2}^{3 \times m} = 512}$

$\sf{ \implies \: {2}^{3 m} = {2}^{9} }$

$\sf{ \implies \: 3 m = 9 }$

$\sf{ \implies \: m = 3 }$

FINAL ANSWER

The number of elements in B = 3

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