recursion in the example just describedstart with now we want the remaining items to add up to ( minus of thesewe start with which is too small now we want the remaining items to add up to ( minus we start with but that' bigger than so we try and then which are also too big we've run out of itemsso we know that any combination that includes won' add up to next we try so now we're looking for target of ( minus we continue in the same wayas summarized hereitems ========================================= /target is too small /target is too small /target is too big /target is too big /target is too big no more items /target is too small /target is too big /target is too big no more items /target is too small /target is too big no more items /target is too small no more items /target is too small /target is too small /target is too big /target is just right successas you may recognizea recursive routine can pick the first itemandif the item is smaller than the targetthe routine can call itself with new target to investigate the sums of all the remaining items combinationspicking team in mathematicsa combination is selection of things in which their order doesn' matter for examplesuppose there is group of five mountain climbers named abcdand from this group you want to select team of three to scale steep and icy mount anaconda howeveryou're worried about how the team members will get alongso you decide to list all the possible teamsthat isall the possible combinations of three climbers but then you think it would be nice to have computer program print out all the combinations for you such program would show you the possible combinationsabcabdabeacdaceadebcdbcebdecde