What is the total number of ways in which 5 identical books can be distributed among 3 friends such that each of them gets atleast one book?
Thus, number of ways maximum five identical books can be distributed among three friends such that each get at least one book = (6 + 3 + 1) ways = 10 ways.
How many ways can 5 Chocolates be distributed among 3 people such that each person gets at least 1 chocolate?
They can get 1,1,3 & 1,2,2 each. So they can be given in 3+3 ways = 6 ways. Therefore total ways is 150.
How many ways can six different gifts be given to five?
In how many ways can six different gifts be given to five different children with each child receiving at least one gift and each gift being given to exactly one child? my answer: for each child to pick from 6 different gifts, there are 6*5*4*3*2=720 ways to pick; one gift left, and can be given to any of the 5 child, so 720*5=3600 ways
Why does my child get two gifts at once?
It’s because you double-count: there is one child that ends up with two gifts, and there are two ways that can happen with your method: first the child gets gift A, and gift B was the ‘leftover’ gift, or vice versa. First, assign each gift either to a child, with the last gift being a bonus gift. This can be done in 6! ways.
How many distinct chocolates would you like to give a student?
, Building Materials and Real Estate Entrepreneur. 10 Distinct chocolates – Let them be Toblerone, Kitkat, Mars, Ferraro , baci , etc. 4 students: Alexander, Benjamin, Cameron, David. Now out of 4 students we must choose 2 and exclude 2.
How many ways can five different door prizes be distributed?
How many ways can five different door prizes be distributed among five people? There are 5 choices of prize for the first person, 4 choices for the second, and so on. The number of ways the prizes can be distributed will be 5! = 5 · 4 · 3 · 2 · 1 = 120 ways. Now we will consider some slightly different examples. Example 27