| Q. | Let ๐ = {1,2, โฆ , ๐}. Let ๐ด = {(๐ฅ, ๐)|๐ฅ โ ๐, ๐ โ ๐}. Consider the following two statements on |๐ด|. I.ย ย ย ย ย ย ย ย ย ย |๐ด| = ๐2๐โ1 II.ย ย ย ย ย ย ย ย |๐ด| = โ๐๐=1ย ย ย ย ๐(๐) ย ย ย ย ย ย ย ย ย ย Which of the above statements is/are TRUE? | |
| (A) Only I | (B) Only II | |
| (C) Both I and II | (D) Neither I nor II | |
Given, A = {(x, X)โฃ xโX, XโU }, where U = {1, 2, โฆ,n}.
As we know that The number of k element subsets of a set U with n elements = nCk.
The number of possible ordered pairs (x, X) where x โ X is kโ nCk for a given value of k from 1 to n. So total number of ordered pairs in A,
![Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]](https://www.gkseries.com/blog/wp-content/uploads/2023/10/Determine-the-correctness-or-otherwise-of-the-following-Assertion-A-and-the-Reason-R.jpg)
