Question

If all permutations of the letters of the word APPLE are arranged as in the dictionary, what is the 35^th word?

• A. LPPAE
• B. PPLEA
• C. LAPPE
• D. PPAEL

Answer 1

The correct option is B

PPLEA

The given word has a total of 5 letters , of which, 2 are of one type.
The first word in the dictionary will start with A.
The remaining 4 letters P,P,L,E can be arranged among themselves in 4!/2! =12 ways.
Then starting with the next letter E, there will be 4!/2!=12 ways.
Next, starting with L, again there will be 4!/2!=12 ways.
Thus there will be 36 words before the words starting with P.the 36^th word will be LPPEA and so the 35^th word will be LPPAE.