In how many ways can 8 mangoes of different sizes be distributed amongst 8 boys of different ages so that the largest one is always given to the youngest boy?
Answers
Answer:
Step-by-step explanation:
Number of ways in which 8 distinguishable apples can be distributed among 3 boys such that every boy should get at least 1 apple and at most 4 apples is K×7P3 then what is the value of K..where K is a positive integer?
my attempt- I tried solving this by brute force and so I wrote down all the possibilities which satisfy the above condition ....(total 12(see edit) of them where B1,B2,B3 are the three boys)
But I don't think this is a good solution at all!!.... There are 12 cases after all also.. we need to solve for each and add them..which is a troubling task indeed...!!!...so can anyone help me in solving this in a much better/shorter way??...or even improve my method..?? ..and direct what should I do??
Answer:
The biggest mango always goes to the youngest boy in 1P1 ways now balance is 7 boys and 7 mangoes which are distributed in 7! ways i.e 5040 ways
Step-by-step explanation: