Question

discrete math

Search il 17:16 [Problem] 1 (a) Give an external definition of the set S {sls EZA+ and gcd(x, 12) 1) (B) Write all the proper subsets of the set {1, 2 3}, and (c) define the function for real number a and positive integer n ,f: RxZ^+ R as f (a,n) a^n , Give a recursive definition of the function (d) Calculate gcd (60, 22) using Euclidean algorithm (e) Give 3 positive integer x that satisfies 4x 6 (mod 10), starting from the smallest (f) Define the binomial relation on Z x Z + as follows: (a, x) (b, y) def ay-bx 0 and give 3element of representative of equivalent relation (2, 5) (e

Answer 1

Pae No. b Dote. SSEZgds, 12)- (t,12), 5,12) 7,12),(,12, - S ,5, ,11, - aS bAT propex subses of 1,,3} 23,221,8 (a 1) a (a.1) (,2) (a a 60 22 2) t 6 22 = 16(D t 6 T6 6 (2) +4 s= 4{V F|각<tart onzeso gemaindes 42 mod To) dividing throughout mod 5) muliplying 3(22)3(Mod 5) Gi=g (moc 5) 4(mod 5) by 2 2XE3 4,9, 14,

Paoa No. Data Defina a vel (9,x)b/y) ay-bxD 2y56-O -5, 6 2 915 b 6