And/Or Permutations and Combinations
Example 1
A company makes gloves that are black, blue, burgundy or grey. Each of the colours comes in
small. medium and large size. How many different types of glo
PASCALS TRIANGLE
Version 1 of Pascals Triangle. The t0,0 stand for the term in row 0 position 0. t5,3 would stand
for row 5 position 3. Notice that the number of terms in any row is one more than the
Permutations with Some Alike
Example 1
Determine the number of permutations of CCD. List them all.
Example 2
Determine the number of permutations of ABBAB.
Example 3
How many distinct permutations of
Pascals Triangle Worksheet
n
1. What other expression in the form are equal to the following?
r
9
a)
2
13
b)
5
46
c)
39
26
d)
26
n
2. What other expression in the form are equal to th
And,Or Permutations and Combinations Worksheet
1. In how many ways can you roll either a sum of 9 or a sum of 12 with the following pair
of dice? The first die is 5 sided labelled 3,4,5,6,7 and the se
Permutations with Some Alike Worksheet
1. How many permutations are there of all the letters in each name:
a) Inverary
d) Penetanguishene
b) Beamsville
e) Corrolary
c) Mattawa
f) Isosceles
2. How many
Problem Solving with Pascals Triangle
Example 1
How many different paths spell HAMBURGER?
H
A
M
B
A
M
B
U
M
B
U
R
B
U
R
G
E
R
Solution
E
R
R
Example 2
How many paths will move the checker to the other
Simple Permutations and Simple Combinations
Type 1
Order Matters and You use all the objects.
A permutation of n distinct objects is_
_.
Denoted
Total number of permutations =
*read as _*
Type 2
Order
Problem Solving with Permutations and Combinations Worksheet
1.
How many different sums of money can you make with a penny, a dime, a loonie and a toonie?(zero is
not a sum)
2. How many different sums
Problem Solving with Pascals Triangle Worksheet
1. Fill in the missing numbers for this version of Pascals triangle.
_
_
_
3003
495
_
_
825
2112
_
2. Determine the number of paths that will spell the
Problem Solving with Permutations and Combinations
Example 1
We can purchase from 3 shirts, 4 shorts, 2 shoes and 6 socks. How many different
purchases can you make (not buying anything counts as a pu
Simple Permutations and Combinations Worksheet
1.
How many ways can you arrange the letters of the word FACTOR?
2. How many ways can you choose two jellybeans from a bag of 15?
3. How many ways can fi