b) These are the consonants are: P,R,B,B,L,T,S.
They can be arranged in ways;
Each of the ways creates 8 places _P_R_B_B_L_T_S_ to put the vowels.
The number of places is then . The number of vowel arrangements is
Put it together: .
a) “PROBABILITIES” the word has 13 letters but some repeat.
There are ways to arrange this word: 3 I’s & 2 B’s.
You now must find the number of ways we can have “EI”, “IE”, or “IEI”
And subtract from total.