(a) Show that if n > 1 there is bijective correspondence of(b) Given the indexed family...

(a) Show that if n > 1 there is bijective correspondence of

(b) Given the indexed family {A1, A2,…}, let Bi = A2i−1 × A2i for each positive integer i. Show there is bijective correspondence of A1 × A2 × … with B1 × B2 × ….