We will use generating functions to determine how many ways there are to use pen

Question

We will use generating functions to determine how many ways there are to use pennies and nickels to give n cents change. Write the sequence Pn for the number of ways to use only pennies to change n cents. Write the generating function for that sequence. Write the sequence Nn for the number of ways to use only nickels to change n cents. Write the generating function for that sequence. Write the generating function for the number of ways to use pennies and nickels to change n cents. Write the generating function for the number of ways to use pennies, nickels and dimes to change n cents.

Explanation / Answer

https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=6&cad=rja&ved=0CF8QFjAF&url=http%3A%2F%2Fwww.cs.ucf.edu%2F~dmarino%2Fucf%2Fcop3530%2Flectures%2FCOP3530DynProg02.doc&ei=iJcGUaIzxausB--7gJAI&usg=AFQjCNFNa5lQOfZ9nyzV0Zhe3LJulkn_jg&sig2=SagNy8dicrNZDOwBgxzOyg&bvm=bv.41524429,d.bmk https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=5&cad=rja&ved=0CFcQFjAE&url=http%3A%2F%2Fwww.cs.ucf.edu%2F~dmarino%2Fucf%2Fcop3503%2Flectures%2FDynProgChange.doc&ei=iJcGUaIzxausB--7gJAI&usg=AFQjCNGEK6WFopyiCXbOEys14H3dge-q_w&sig2=VY9B4I5LRuWnVkuLgJga9w&bvm=bv.41524429,d.bmk https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&cad=rja&ved=0CEwQFjAD&url=http%3A%2F%2Fwiki.answers.com%2FQ%2FHow_many_ways_can_you_make_25_cents_in_change&ei=iJcGUaIzxausB--7gJAI&usg=AFQjCNF-KL6UxicLOWR5mt6SlX0Nqe-oiw&sig2=cMi9jAUp9l0_gEV7t345zA&bvm=bv.41524429,d.bmk

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