Consider the word badger How many arrangements of these lett

Consider the word \"badger How many arrangements of these letter are not \"bad\"? Hint: use Complement Rule

Solution

badger =6 letters

total number of permutations =6! =720

letters in word \"bad\" can be arranged in 3! =6ways

so we need the word that is not bad. so 6-1= 5ways (like bda,abd,adb,dab,dba)

so all possible permutations with letters of badger with no bad =6! (5/ 6) =600words