CET Permutation and Combination Questions with Solutions

All 23 Permutation and Combination questions from MBA CET 2025 and 2026 papers. Tap Show answer, or open the detailed solution (free login). Page 1 of 5.

CET 2026 Slot 2 · MBA CET 2026 Attempt 1 Slot 2 · Q137Easy

DIRECTION for the question: Solve the following question and mark the best possible option.

In how many different ways can the letters of the word OPTICAL can be arranged in such a way that the vowels always come together?

  1. 120
  2. 720
  3. 2160
  4. 4320
  5. 6
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Answer: B. 720

CET 2026 Slot 3 · MBA CET 2026 Attempt 1 Slot 3 · Q22Easy

At Rajendra’s Birthday party, there are exactly 57 persons including Rajendra. All of them shake hand with each other. Find the total number of handshakes ?

  1. 1596
  2. 1725
  3. 1675
  4. 1634
  5. 1553
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Answer: A. 1596

CET 2026 Slot 3 · MBA CET 2026 Attempt 1 Slot 3 · Q139Easy
Five men and four women are seated in a row such that all the four women always sit together.In how many different ways can they be seated?
  1. 720
  2. 4,320
  3. 8,640
  4. 17,280
  5. 34,560
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Answer: D. 17,280

CET 2026 Slot 3 · MBA CET 2026 Attempt 1 Slot 3 · Q140Easy
How many words can be formed out of the letters of the word 'EDUCATION' such that vowels occupy the odd positions?
  1. 1440
  2. 2880
  3. 2840
  4. 2480
  5. 720
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Answer: B. 2880

CET 2026 Slot 4 · MBA CET 2026 Attempt 1 Slot 4 · Q74Easy

At the end of a business conference all the 16 people present, shake hands with each other only once. How many handshakes were there altogether?

  1. 115
  2. 120
  3. 110
  4. 75
  5. 85
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Answer: B. 120

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