Please answer the questions. Thank you! Will rate!

1)Let X = {a, b, c, d}. What is { A: A P(X) and |A| = 2 }?

a. { {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a}, {b}, {c}, {d} }

b.{ {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d} }

c.{ {a, b}, {a, c}, {a, d}, {b, a}, {b, c}, {b, d}, {c,a}, {c,b}, {c, d}, {a}, {b}, {c}, {d} }

2. B = {x Z: x is a prime number}

C = {3, 5, 9, 12, 15, 16}

The universal set U is the set of all integers. Select the set corresponding to BC

a. {9, 12, 15, 16}

b.{9, 12, 16}

c. {3, 5}

3. For i Z+, Ai is defined to be the set of all integer multiples of i. Select the set corresponding to (i+24Ai) {x Z : 1 x 30}

a.

b.{24}

c.{12, 24}