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Quantitative - Mathematics - Word Problems:

Permutation and Combinations

MCQ - 157-12924

Question:

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

  1. 17280
  2. 4320
  3. 720
  4. 4320

Correct Answer: A

Explanation:

Word SIGNATURE contains total 9 letters. There are four vowels in this word, I, A, U and E

Make it as, SGNTR(IAUE), consider all vowels as 1 letter

So total letter are 6.

6 letters can be arranged in 6! ways = 720 ways

Vowels can be arranged in themselves in 4! ways = 24 ways

Required number of ways = 720 × 24 = 17280

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 "SIGNATURE" so that vowels always come 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. 157-12924.

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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