Frog/Lilypad Problem
Can someone explain to me the frog jumping on the lilypad problem that we discussed in class? The main problem I'm having is understanding the second step (determining the different paths). Thanks in advance, Jaspreet
martha2A: Jan. 19, 2015, 1:09 a.m.
Professor W drew a diagram with six columns and four rows to represent the possibilities of the different patterns that the frog can make by jumping on one lily pad twice. The asterisks (*) that he made diagonally along the diagram represent the first time that the frog jumps on the doubled lily pad. Since the frog will not jump consecutively on the same lily pad, one space is skipped in the diagram when counting for the possibilities of the second jump. When we count all the possibilities they added up to 10 different possibilities for the second jump hence 10 different possibilities for the jump pattern. Let me know if you need more clarification.
weisbart: Jan. 20, 2015, 5:17 p.m.