If A = {letters of word ORANGE } and B = { letters of word MANGO} , find
`A cap B `

Answer

To solve the problem, we need to find the intersection of the two sets A and B. Here are the steps:

### Step 1: Define the sets A and B
- Set A consists of the letters of the word "ORANGE".
- Set B consists of the letters of the word "MANGO".

**Solution:**
- A = {O, R, A, N, G, E}
- B = {M, A, N, G, O}

### Step 2: Identify the common elements in both sets
To find the intersection (A ∩ B), we need to look for letters that are present in both sets A and B.

**Solution:**
- Common letters:
- O (present in both A and B)
- A (present in both A and B)
- N (present in both A and B)
- G (present in both A and B)

### Step 3: Write the intersection set
The intersection set A ∩ B will include all the common elements identified in the previous step.

**Solution:**
- A ∩ B = {O, A, N, G}

### Final Answer
The intersection of sets A and B is:
- A ∩ B = {O, A, N, G}

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