6. Let = = R {red, orange, yellow, green, blue, indigo, violet, ultraviolet} {abicus, delta, zelda, knight} S {CIS201, CIS203, CIS300} J {Vulcan, Caprica, Alderan, Mimbar} (a) Give a surjection, h: R + Z6, or explain why such a function is impossible. (b) Give a bijection, g:J C, or explain why such a function is impossible. (c) Give an injection, f:S R, or explain why such a function is impossible. (d) What is |R SI (e) Explain how you would show that |P(S)] = [R]. Note: credit is for explaining how, not doing it