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Please solve 3. (3 morks) Find the number of solutions to x+y+z=32, where x,y and z are nonnegative: integers such that x7 and y15. 4.

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3. (3 morks) Find the number of solutions to x+y+z=32, where x,y and z are nonnegative: integers such that x7 and y15. 4. ( 4 marks) Find a recurrence relation for the number of decimal strings (strings made up of decimal digits) of length n that do not contain three consecutive 9 s. What are the initial conditions? Explain your

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