1. Consider the following word arrangements: a) How many arrangements can be made using the letters in the word
SCHOOL?
b) How many arrangements can be made using the letters in the word
SCHOOL if the "word" must start with C?
c) How many arrangements can be made using the letters in the word
SCHOOL if the Os must be kept apart?
2. Using the letters of the word VELTRI, how many four letter words can be
formed
a) with no restrictions?
b) if the word must start with a vowel?
c) with no vowels?
d) with vowels and consonants alternating?
3. Consider the digits 0, 2, 4, 5, 8, 9. If repetitions are allowed, find
a) how many 3-digit numbers can be formed?
b) how many 3-digit multiples of 10 can be formed?
c) how many 3-digit numbers can be formed that are larger than 700
and even?
d) how many 3-digit numbers that have no repeating numbers can be
formed?