If L = {all letters in the word UTTAR PRADESH}
C = {all consonants in the word UTTAR PRADESH}
and V = {all vowels in the word UTTAR PRADESH}, then
write sets L, C and V in the roster form.

Answer

To solve the problem, we need to identify the sets L, C, and V based on the letters in the word "UTTAR PRADESH".

### Step 1: Identify Set L
Set L is defined as the set of all letters in the word "UTTAR PRADESH". We will list each letter only once, even if it appears multiple times in the word.

- The letters in "UTTAR PRADESH" are: U, T, T, A, R, P, R, A, D, E, S, H.
- Removing duplicates, we get: U, T, A, R, P, D, E, S, H.

Thus, in roster form, set L is:
**L = {U, T, A, R, P, D, E, S, H}**

### Step 2: Identify Set C
Set C is defined as the set of all consonants in the word "UTTAR PRADESH".

- The consonants in "UTTAR PRADESH" are: T, T, R, P, R, D, S, H.
- Removing duplicates, we get: T, R, P, D, S, H.

Thus, in roster form, set C is:
**C = {T, R, P, D, S, H}**

### Step 3: Identify Set V
Set V is defined as the set of all vowels in the word "UTTAR PRADESH".

- The vowels in "UTTAR PRADESH" are: U, A, A, E.
- Removing duplicates, we get: U, A, E.

Thus, in roster form, set V is:
**V = {U, A, E}**

### Final Answer
- L = {U, T, A, R, P, D, E, S, H}
- C = {T, R, P, D, S, H}
- V = {U, A, E}