Permutation or Combination?
#1
A high school offers 5 foreign language
programs. In how many ways can a
student choose 2 programs?
#2
In how many ways can 20 members be
chosen from a 60-member chorus to sing
the national anthem at a graduation
ceremony.
#3
In how many ways can a captain, cocaptain, and team manager be chosen
from among the 18 members of a
volleyball team?
#4
Ten colleges are participating in a college
fair. Booths will be positioned along one
wall of a high school gymnasium. In how
many different orders can the booths be
arranged?
#5
First- through fourth-place prizes are to be
awarded in an hot dog eating contest. In
how many ways can the winners be
selected from among 125 entries?
#6
How many tennis teams of 6 players can be
formed from 14 players without regard to
position played?
#7
How many ways can 5 members of a family
be seated side-by-side in a movie theater
if the father is seated on the aisle?
#8
From a standard deck of 52 cards, how
many different ways can 5 cards be
drawn?
#9
How many arrangements can be made for a
seating chart of a class with 28 students if
there are going to be 4 people in a group?
#10
The Algebra 2 class is preparing for its final
exam. From a class of 26 students, how
many study groups of 4 students can be
formed?
#11
Six U of I cheerleaders printed large letters that
spell out ILLINI. Each card had one letter on it
and each cheerleader is supposed to hold up
one card. At half-time, they realize that
someone has mixed up the cards. How many
different ways are there to arrange the cards?