Question

if A = (a, b), than how many binary operations can be defined on A. ​

Answer 1

Answer:

• learn from the example
• it helps u improve
• pls mark me brainliest

Step-by-step explanation:

\bold{\large{A}} = {5,6} has two elements e.g., 5 and 6 as you can see.

e.g., n(A) = 2 [ n(A) shows number of elements in set A }

Then, \bold{\large{A}}\times\bold{\large{A}} has 2 × 2 = 4 elements .

e.g., n(A × A) = 4

we know,

number of binary operation on set A=\bold{n(A)}^{n(\bold{\large{A}}\times\bold{\large{A}})}

= 2⁴ = 2 × 2 × 2 × 2 = 16

Hence, number of binary operation on set A = 16

Answer 2

Answer:

4 is the answer .

Step-by-step explanation:

n(A) = 2^n

here the set has 2 elements.so,

n(A) = 2² = 4

Hope it helps you dude.Have a great day.