Write a recursive formula that shows how many ways you can tile
a 3xn checkboard with 1x3 tiles. Show how the pattern is establish
by showing how different value n give their corresponding ways to
tile the particular n.
How many ways can you distribute 1 piece of chocolate, 2
licorice sticks, and 7 pixie sticks to 5 children so that each
child has exactly 2 pieces of candy?
Consider the letters ABCDE.
a. How many strings of length 3 can be formed if we allow
repetitions (if we allow a letter to be used more than once)?
b. How many strings of length 3 can be formed if we do not
allow repetitions (if we allow each letter to be used at most
once)?
c. How many strings of length 3 can be formed if the first
letter is A and we allow repetitions?
d. How many strings...
Permutation
and Combination
1.
How many ways can
the letters A B C be arranged, using each letter only
once?
2.
A code
has
4 digits in a
specific order, the digits are between 0-9. How many different
permutations are there if one digit may only be used
once?
3.
In how many ways
can three students be selected for a project from a group of
fifteen students?
4.
Richmond Machine
Shop has eight machines but only three spaces available...