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In a school, n+100 students have access to three software packages A, B and C. n-1 did not use any software, n-2 used only

 

In a school, n+100 students have access to three software packages A, B and C. n-1 did not use any software, n-2 used only packages A n-3 used only packages B, n-4 used only packages C n-5 used all three packages , n-6 used both A and B. where n is your arid number i.e. 19-arid-234 take n=234 a) Draw a Venn diagram with all sets enumerated as for as possible. Label the two subsets which cannot be enumerated as x and y in any order. b) If twice as many students used package B as package A, write down a pair of simultaneous equations in x and y. c) Solve the equations to find x and y. d) How many students used package C? (B) Consider the graphs A,, K,, and K, in figure given below. Find and draw an Euler (traversable) path or an Euler circuit of cach graph, if it exists. If it does not, why not?

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