On the occasion of Dipawali festival each sutdent of a class sends greeting cards to others. If there are 20 students in the class, the number of cards sends by students is
(A) \({ }^{20} \mathrm{C}_{2}\)
(B) \({ }^{20} P_{2}\)
(C) \(2 \times{ }^{20} \mathrm{C}_{2}\)
(D) \(2 \times{ }^{20} \mathrm{P}_{2}\)