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Quantitative - Mathematics - Word Problems:

Permutation and Combinations

MCQ - 163-12930

Question:

How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together.

  1. 48
  2. 52
  3. 72
  4. 52

Correct Answer: C

Explanation:

We need to find the ways that vowels NEVER come

together.

Vowels are A, E

Let the word be FTR(AE) having 4 words.

Total ways = 4! = 24

Vowels can have total ways 2! = 2

Number of ways having vowel together = 48

Total number of words using all letter = 5! = 120

Number of words having vowels never together = 120-48

= 72

Record Performance

1297 MCQ for effective preparation of the test of Permutation and Combinations of Word Problems section.

Read the MCQ statement: How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together. , keenly and apply the method you have learn through the video lessons for Permutation and Combinations to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 163-12930.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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