Which word CANNOT be formed using the letters of the given word, using each…
20202020
Which word CANNOT be formed using the letters of the given word, using each letter only as many times as it appears in the given word?
DOCUMENTARY
- A.
AERODUCT
- B.
EDUCATOR
- C.
DEMOCRACY
- D.
MONETARY
Attempted by 91 students.
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Correct answer: C
Given word: DOCUMENTARY — its letters are D, O, C, U, M, E, N, T, A, R, Y, each appearing exactly once.
Rule: a word can be formed only if every letter it needs is available in DOCUMENTARY, and no letter is used more times than it appears there.
AERODUCT (A, E, R, O, D, U, C, T): every letter is available — can be formed.
EDUCATOR (E, D, U, C, A, T, O, R): every letter is available — can be formed.
DEMOCRACY (D, E, M, O, C, R, A, C, Y): it needs the letter 'C' twice, but DOCUMENTARY contains 'C' only once — cannot be formed.
MONETARY (M, O, N, E, T, A, R, Y): every letter is available — can be formed.
Hence DEMOCRACY is the word that cannot be formed from the letters of DOCUMENTARY.