GATE 2020 Computer Science and IT Question Paper with answer

The number of permutations of the characters LILAC if no characters appears in its original position if two Ls are Indistinguishable is ___

A= {1,2,3} What is the probability of getting reflexive relation on A. By choosing any relation randomly.

A graph G K_3,4 is given. Suppose, a vertex ‘S’ is added which is adjacent to every vertex in K_3,4 then minimum number of edge-color required____

Rank (M) is rank of matrix M and Det(M) is determinant of matrix M then
1. Rank (AB) = Rank (A). Rank (B)
2. Det(Ab) =det(A). det(B)
3. Rank (A+B)≤ Rank (A) + Rank (B)
4. det (A + B ) ≤ det(A)+ det(B)
Which of the above statements is correct ?

A group with 35 elements has subgroups. The maximum size of the proper subgroup is ____