Twenty cookies are the be distributed to ten children. In how
many ways can the cookies...
Twenty cookies are the be distributed to ten children. In how
many ways can the cookies be distributed if (a) any cookie can be
given to any child; (b) if two cookies are to be given to each
child ?
Twenty people check their hats at a theater. In how many ways
can their hats be returned so that
(a) no one receives his or her own hat?
(b) at least one person receives his or her own hat?
(c) exactly one person receives his or her own hat?
Seven people are in an elevator which stops at ten floors. In
how many ways can they get off the elevator?
10^7
C(10,7)
7^10
P(10,7)
A hiking group consists of 12 students and 2 leaders. A leader
must be at the front and back of the line. How many ways can the
group hike in a line?
14!
12!*2!
14!/2!
12!
a) In how many ways n distinct ball can be given to k children
so that no child gets more than 3 balls?
b) What happens if the balls are indistinguishable?
in how many ways can you distribute 13 identical
pieces of candy to 5 children, if two of the children are twins and
must get an equal number of pieces and every child must receive at
least one piece?
Six numbered tokens are distributed to 8 different people.
a) How many ways can the tokens be distributed? How many ways
can the tokens be distributed if each token must be given to a
different person?
b) How many ways can the tokens be distributed such that person
A receives at least 2 tokens?
c) How many ways can the tokens be distributed such that 3 are
given to one person, and 2 to another person?
d) How many ways...
The flower shop has ten different flower arrangements.
How many different ways can the shop show flowers if their display
case can hold three flower arrangements and no flower arrangement
is repeated?
In a baking competition between ten bakers, how many ways is it
possible for the top three places, (1st -2nd - 3rd place) to be
determined?
In a class of twenty students, how many ways are there to choose
two students to participate in a debate?