Which one among the following options is a word that cannot be formed

Which one among the following options is a word that cannot be formed from the letters used in INTELLIGENCE?

ENTICE
GENTLE
ENGINE
INTENT
This question was previously asked in
UPSC CAPF – 2012
The letters available in INTELLIGENCE are I(2), N(2), T(1), E(3), L(2), G(1), C(1). The word ‘INTENT’ requires the letters I(1), N(2), T(2), E(1). INTELLIGENCE has only one ‘T’, but INTENT requires two ‘T’s. Therefore, INTENT cannot be formed.
List the letters and their counts in the original word (INTELLIGENCE). Check the required letters and counts for each option. Identify the option for which the required letters or their count exceed what is available in the original word.
A) ENTICE requires E(2), N(1), T(1), I(1), C(1). Available: E(3), N(2), T(1), I(2), C(1). Can be formed.
B) GENTLE requires G(1), E(2), N(1), T(1), L(1). Available: G(1), E(3), N(2), T(1), L(2). Can be formed.
C) ENGINE requires E(2), N(2), G(1), I(1). Available: E(3), N(2), G(1), I(2). Can be formed.