Question

If words are formed using all the letters from the word ‘PERSONAL’ then identify the correct statement(s).

• A. Number of words which contain ‘SONA’ but not ‘SONAL’ is 5.
• B. Number of words in which ‘EON’ does not occupy last three positions is 60.5!
• C. Number of words in which vowels are in alphabetical order is 56.5!
• D. Number of words which contain ‘PERSON’ but not ‘PERSONAL’, is 5

Answer 1

Answer: (C), (D)

PERSONAL
(A) Required number of words = P, E, R, (SONA), L-P,E,R, (SONAL)
$5 !-4 !=96$
(B) Required number of words $=8 !-5 !$
(C) Required number of words $={ }^8 C _5 \times 5 ! \times 1=56.5$ !
(D) Required number of words $=$ PERSON, A, L- PERSONAL
$3 !-1=5$