0 votes 0 votes A student has three mangos, two papayas, and two kiwi fruits. If the student eats one piece of fruit each day, and only the type of fruit matters, in how many different ways can these fruits be consumed? Combinatory kenneth-rosen discrete-mathematics counting combinatory descriptive + – admin asked May 1, 2020 admin 1.9k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Here we have given student has 3 mangoes,2 papayas and 2 kiwi fruits. so in total he has (3+2+2) =7 fruits. let all the fruits to be eaten.if he eat one fruit each day then it will take 7 days to complete this process. so this becomes a permutation problem because order of eating of fruits matter. so according to one of popular permutation type where , n=7, n1(mangoes)=3, n2(papayas)=2, n3(kiwi)=2. so number of ways =7!/(3!2!2!) =210 _aurelius_ answered May 1, 2020 • edited May 1, 2020 by _aurelius_ _aurelius_ comment Share Follow See all 0 reply Please log in or register to add a comment.