Question

Let A={1,2,3,4,5,6,7,8,9,10) and A1={1,2,3,4} A2={5,6,7} A3= {4,5,7,9} A4={4,8,10} A5={8,9,10} A6={1,2,3,6,8,10} Which of the following are partition of A true or false​

Answer 1

Answer:

Let A={1,2,3,4,5,6,7,8,9,10) and A1={1,2,3,4} A2={5,6,7} A3= {4,5,7,9} A4={4,8,10} A5={8,9,10} A6={1,2,3,6,8,10} Which of the following false

Answer 2

Answer:

Given,

A={1,2,3,4,5,6,7,8,9,10).

A1={1,2,3,4}.

A2={5,6,7}.

A3= {4,5,7,9}.

A4={4,8,10}.

A5={8,9,10}.

A6={1,2,3,6,8,10}.

To Find,

Partition of A.

Solution,

Partition is dividing a whole into two or more parts, while still having those parts.

Here, A1, A2, and A5 can be said as the partition of A.

Similarly, A3 and A6 can be said as the partition of A.

Hence, we have two partition pairs for A.