Q1 Define the following terms with example, a) One-One and onto mapping Over any non-empty set. b) Group c) Subgroup d)

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Q1 Define The Following Terms With Example A One One And Onto Mapping Over Any Non Empty Set B Group C Subgroup D 1 (76.69 KiB) Viewed 63 times

the following questions are related to discrete mathematics
Q1 Define the following terms with example, a) One-One and onto mapping Over any non-empty set. b) Group c) Subgroup d) Abelian Group Q2 Define the relation and let R= ={(a,b):a -b is divided by 3; Va,be A} where A={1,2,3,4,5). Is relation R is equivalence relation? = Q3 Let f(x)=\l and 8()=\* Vre{1,2,33 = { find the given values 2 for each value of x, a) fog b) fogof c) gof Q4 Show the following sets are Group under the addition operation, a) R b) set of rational numbers c) Z Q 5 Define order of an element of any Group. Let Zz be any Group with respect to addition modulo 5 then find order of each element of Zs.