Find the number of ways in which 4 letters may be selected from the word "Examination"?
Choose the correct choice from the following.
A) 66
B) 70
C) 136
D) 330
E) 4264
EXAMINATION has 11 letters, and in which 'A', 'I' and 'N', all occur twice. 11C4, would have been fine if all letters were distinct.   So, we have E, X, M, T, O, (AA), (II), (NN). 8 distinct letters.   1. 4 letters selected, which are all distinct: 8C4 = 70   2. 2 letters alike, and 2 distinct (eg: AAEX) = 3C1 x 7C2 = 63   3. 2 letters alike, and 2 letters alike (eg: AAII) = 3C2 = 3   So answer is, 70 + 63 + 3 = 136.   ANSWER:136
<result>C</result>
Find the number of ways in which 4 letters may be selected from the word "Examination"?