Question: Discrete Math - Pls do the followings (11 Prove by induction that H Z=j*j!=(n+l)!l i=1 is true for alln e N. Q2 There is a

Discrete Math - Pls do the followings

(11 Prove by induction that H Z=j*j!=(n+l)!l i=1 is true for alln e N. Q2 There is a robot that steps between integer positions in 3-dimensional space. Each step of the robot increments one coordinate and leaves the other two unchanged. How many paths can the robot follow going from the origin (0,0,0) to (i,j,k), Assume that the integer values for i,j,k are such that it is possible for the robot to reach the destination. Q3 Prove that there is no matching for the bipartite graph G in Figure 1 that covered L(G). V L(G) R(G) \\_/ Flgure 1. A Bipartite Graph G

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