Which of the following words cannot be formed from the letters of the word 'ADVANTAGE'?
- AAGENT
- BGAVE
- CGATE
- DVENUE
Solution & Step-by-step Explanation
Let's count the available letters in ADVANTAGE:
A: 3, D: 1, V: 1, N: 1, T: 1, G: 1, E: 1
Now analyze the options:
* AGENT: A(1), G(1), E(1), N(1), T(1) — All are present.
* GAVE: G(1), A(1), V(1), E(1) — All are present.
* GATE: G(1), A(1), T(1), E(1) — All are present.
* VENUE: V(1), E(2), N(1), U(1) — This requires the letter 'U' which is not present in ADVANTAGE, and it also requires two 'E's whereas ADVANTAGE has only one 'E'.
Therefore, VENUE cannot be formed.
A: 3, D: 1, V: 1, N: 1, T: 1, G: 1, E: 1
Now analyze the options:
* AGENT: A(1), G(1), E(1), N(1), T(1) — All are present.
* GAVE: G(1), A(1), V(1), E(1) — All are present.
* GATE: G(1), A(1), T(1), E(1) — All are present.
* VENUE: V(1), E(2), N(1), U(1) — This requires the letter 'U' which is not present in ADVANTAGE, and it also requires two 'E's whereas ADVANTAGE has only one 'E'.
Therefore, VENUE cannot be formed.