In how many ways can Ram choose a vowel and a constant from the letters of the word ALLAHABAD

Options

A. 4
B. 6
C. 9
D. 5

Answer

To solve the problem of how many ways Ram can choose a vowel and a consonant from the letters of the word "ALLAHABAD," we can follow these steps:

### Step 1: Identify the vowels in the word "ALLAHABAD."
The vowels in the word "ALLAHABAD" are A and A.
So, the unique vowels are:
- A (considering that it appears multiple times, but we only count it once for selection purposes)

### Step 2: Identify the consonants in the word "ALLAHABAD."
The consonants in the word "ALLAHABAD" are L, L, H, B, and D.
So, the unique consonants are:
- L
- H
- B
- D

### Step 3: Count the number of unique vowels and consonants.
- Number of unique vowels = 1 (A)
- Number of unique consonants = 4 (L, H, B, D)

### Step 4: Calculate the total combinations of choosing one vowel and one consonant.
To find the total number of ways to choose one vowel and one consonant, we multiply the number of unique vowels by the number of unique consonants:

Total combinations = Number of unique vowels × Number of unique consonants
Total combinations = 1 × 4 = 4

### Step 5: List the combinations.
The possible combinations of one vowel and one consonant are:
1. A and L
2. A and H
3. A and B
4. A and D

Thus, Ram can choose a vowel and a consonant in **4 different ways**.

### Final Answer:
The total number of ways Ram can choose a vowel and a consonant from the letters of the word "ALLAHABAD" is **4**.

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