Question

Let \(A=\{1,2,3\}\), \(B=\{3,4\}\), and \(C=\{4,5,6\}\). What is \(A\times(B\cap C)\)?

पर्याय

• \(\{(1,4),(2,4),(3,4)\}\)

• \(\{(1,4),(1,5),(1,6)\}\)

• \(\{(1,3),(2,3),(3,3)\}\)

• \(\{(3,4),(4,5),(5,6)\}\)

Answer 1

The common element of \(B\) and \(C\) is \(4\), so \(B\cap C=\{4\}\). Pairing each element of \(A\) with \(4\) gives the stated Cartesian product.