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For school children a software was designed.In that software one monkey has to choose balloons. If a monkey chooses 2 at a time and continues picking then 1 baloon is left. If it picks 5 at a time then the remaining is zero,if it picks 6 at a time then remaining is 3. What is the minimum number of balloons?

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In an exam there are total 12 questions. From the first 4 questions a student has to answer 2 questions which are compulsory. And he has to answer 5 from the rest. In how many ways he can answer questions. if g[0]=1,g[1]=-1
g[n]=2*g[n-1]-3*g[n-2]
then calculate g[4]