1. Examples
1. A = {1,2}, Find P(A) ...
Solution:
Here `A={1,2}`
`P(A) = {phi,{1},{2},{1,2}}`
`|A|=2`
`:.|P(A)|=2^2=4`
2. A = {1,2,3}, Find P(A) ...
Solution:
Here `A={1,2,3}`
`P(A) = {phi,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}`
`|A|=3`
`:.|P(A)|=2^3=8`
3. A = {1,2,3,4}, Find P(A) ...
Solution:
Here `A={1,2,3,4}`
`P(A) = {phi,{1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}}`
`|A|=4`
`:.|P(A)|=2^4=16`
4. A = {x<=5; x in N}, Find P(A) ...
Solution:
`A={x<=5; x in N}`
`:.A={1,2,3,4,5}`
`P(A) = {phi,{1},{2},{3},{4},{5},{1,2},{1,3},{1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5},{1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{1,4,5},{2,3,4},{2,3,5},{2,4,5},{3,4,5},{1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{2,3,4,5},{1,2,3,4,5}}`
`|A|=5`
`:.|P(A)|=2^5=32`
This material is intended as a summary. Use your textbook for detail explanation.
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