Which of the following words can be formed using only the letters of the word "PSCEXAMINATION"? (When framing a word you can use any letter at most the number of time/times it appears in the given word.)
- ASCIENCE
- BMOTHER
- CMSCEXAMINATION
- DSTEPIN
Solution & Step-by-step Explanation
Let's count the frequency of each letter in the master word "PSCEXAMINATION":
* P: 1, S: 1, C: 1, E: 1, X: 1, A: 2, M: 1, I: 2, N: 2, O: 1, T: 1
Now let's check each option:
* Option A: SCIENCE Requires two 'E's and two 'C's. But "PSCEXAMINATION" only has one 'E' and one 'C'. Cannot be formed.
* Option B: MOTHER
Requires 'H' and 'R'. These letters are not present in "PSCEXAMINATION". Cannot be formed.
* Option C: MSCEXAMINATION
Requires 'M', 'S', 'C', 'E', 'X', 'A', 'M', 'I', 'N', 'A', 'T', 'I', 'O', 'N'. This requires two 'M's, but the master word has only one 'M'. Cannot be formed.
* Option D: STEPIN
Letters required: S, T, E, P, I, N.
Let's check presence and frequency in "PSCEXAMINATION":
* S (present: 1)
* T (present: 1)
* E (present: 1)
* P (present: 1)
* I (present: 2)
* N (present: 2)
All required letters are available within their frequency limits. Therefore, STEPIN can be formed.
* P: 1, S: 1, C: 1, E: 1, X: 1, A: 2, M: 1, I: 2, N: 2, O: 1, T: 1
Now let's check each option:
* Option A: SCIENCE Requires two 'E's and two 'C's. But "PSCEXAMINATION" only has one 'E' and one 'C'. Cannot be formed.
* Option B: MOTHER
Requires 'H' and 'R'. These letters are not present in "PSCEXAMINATION". Cannot be formed.
* Option C: MSCEXAMINATION
Requires 'M', 'S', 'C', 'E', 'X', 'A', 'M', 'I', 'N', 'A', 'T', 'I', 'O', 'N'. This requires two 'M's, but the master word has only one 'M'. Cannot be formed.
* Option D: STEPIN
Letters required: S, T, E, P, I, N.
Let's check presence and frequency in "PSCEXAMINATION":
* S (present: 1)
* T (present: 1)
* E (present: 1)
* P (present: 1)
* I (present: 2)
* N (present: 2)
All required letters are available within their frequency limits. Therefore, STEPIN can be formed.