Question

How many ways are there to distribute thirty identical apples among four kids so that:

a) each kid gets at least 1 apple

b) each kid gets an even number of apples but no kid gets 0 apples

Answer #1

1. How many ways are there to distribute 12 identical apples
among 5 baskets, with the last two baskets having 4 apples
combined?

How many different ways to distribute 12 strawberries, 7
oranges, and 6 bananas among five people
if each person gets at least one from each type and each person
gets the equal total number of fruits?

How many different ways to distribute 12 strawberries, 7
oranges, and 6 bananas among five people if each person gets at
least one from each type and each person gets the equal total
number of fruits?

You have $1000 in ten $100 bills to distribute among four
different charities.
(a) How many different ways can you distribute the $100 bills
(with no restrictions)?
(b) How many different ways can you distribute the $100 bills if
each charity must get at least some money?

How
many ways are there to distribute:
a.) 20 identical lollipops to 4 children
b.) 20 different toys to the 4 children
c) 20 different toys to the 4 children if each child gets
exactly 5 toys

In how many ways can 12 indistinguishable apples and 1 orange
be distributed among three children in such a way that each child
gets at least one piece of fruit?
Consider the multiset {n .a,l,2,3,...,n) of size 2n. Determine
the number of its n-combinations.
consider the multiset {n.a,n.b,1,2,3,...,n+1)of size
3n+1.Determine the number of its n-combinations

How many ways can you give 13 (identical) apples to your 7
favourite Mathematics lecturers if each of them gets at
most
two apples?
why
isnt 28?

How
many ways can you distribute 15 identical marble into 6
distinguishable urns so that the sum total of marbles in the first
three urns equals 5?

In how many ways can 12 identical chocolate bars be distributed
between three
teenagers: John, Lisa and Dana if
a) There are no restrictions on the number of bars each person
gets?
b) If John should get an odd number of bars and Lisa and Dana
should get at
least two bars each?
c) If John should get an odd number of bars, Lisa an even number
of bars and
Dana should get at least four bars ?

Discrete math
A candy shop has 11 different color of gum ball.
1. How many ways are there to fill one bag, assume 6 gum ball
are 1 bag.
2. How many ways are there to fill one bag of 6 gum ball, if
each gum ball in bag has unique color.
3. if you buy 6 gum ball and distribute 1 to six kids
(A,B,C,D,E,F) , how many ways are there if each kids gets a
different color gum...

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