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In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?
- a)4
- b)6
- c)9
- d)5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In how many ways can Ram choose a vowel and a consonant from the lette...
In the ALLAHABAD :-
only 1 vowel available for selection (A).
A is available 4 times .
there are 4 consonants available – L, H, B, D
Then the number of ways of selecting a vowel and a consonant would be 1 × 4C1 = 4.
only 1 vowel available for selection (A).
A is available 4 times .
there are 4 consonants available – L, H, B, D
Then the number of ways of selecting a vowel and a consonant would be 1 × 4C1 = 4.
Most Upvoted Answer
In how many ways can Ram choose a vowel and a consonant from the lette...
In the letters of the word ALLAHABAD there is only 1 vowel available for selection (A). Note that the fact that A is available 4 times has no impact on this fact.
Also, there are 4 consonants available – viz. L, H, Band D. Thus, the number of ways of selecting a vowel and a consonant would be 1 � 4C1 = 4.
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Community Answer
In how many ways can Ram choose a vowel and a consonant from the lette...
Given word: ALLAHABAD
To find: Number of ways to choose a vowel and a consonant
Solution:
Vowels in the given word: A, A, A
Consonants in the given word: L, L, H, B, D
We need to choose 1 vowel and 1 consonant from the given letters.
To find the number of ways, we can use the following formula:
Number of ways = (Number of choices for the first selection) * (Number of choices for the second selection)
Number of choices for the first selection = Number of vowels in the word = 3
Number of choices for the second selection = Number of consonants in the word = 5
Number of ways = 3 * 5 = 15
But, we need to consider only distinct pairs.
For example, choosing A and L is the same as choosing L and A.
Therefore, we need to divide the total number of ways by 2.
Number of distinct ways = 15/2 = 7.5
Since we cannot have half a way, we need to take the nearest integer, which is 8.
Therefore, the number of ways to choose a vowel and a consonant from the given word is 8.
Option (A) 4 is incorrect.
Hence, the correct answer is option (A) 8.
To find: Number of ways to choose a vowel and a consonant
Solution:
Vowels in the given word: A, A, A
Consonants in the given word: L, L, H, B, D
We need to choose 1 vowel and 1 consonant from the given letters.
To find the number of ways, we can use the following formula:
Number of ways = (Number of choices for the first selection) * (Number of choices for the second selection)
Number of choices for the first selection = Number of vowels in the word = 3
Number of choices for the second selection = Number of consonants in the word = 5
Number of ways = 3 * 5 = 15
But, we need to consider only distinct pairs.
For example, choosing A and L is the same as choosing L and A.
Therefore, we need to divide the total number of ways by 2.
Number of distinct ways = 15/2 = 7.5
Since we cannot have half a way, we need to take the nearest integer, which is 8.
Therefore, the number of ways to choose a vowel and a consonant from the given word is 8.
Option (A) 4 is incorrect.
Hence, the correct answer is option (A) 8.
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In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?a)4b)6c)9d)5Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?a)4b)6c)9d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?a)4b)6c)9d)5Correct answer is option 'A'. Can you explain this answer?.
In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?a)4b)6c)9d)5Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?a)4b)6c)9d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can Ram choose a vowel and a consonant from the letters of the word ALLAHABAD?a)4b)6c)9d)5Correct answer is option 'A'. Can you explain this answer?.
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