PYQ Vault

Probability from random arrangements of letters, objects or people

This type of question, asked 3 times: 21 Apr 2025 S1, 14 May 2026 S2, 19 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    21 Apr 2025 S1

    137
    The probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two 'I' s do not come together is

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  2. Question 2

    14 May 2026 S2

    56
    Four Rupee 5 coins, three rupee 2 coins and two rupee 1 coin are stacked together in a column at random. The probability that the coins of the same denomination are consecutive, is

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  3. Question 3

    19 May 2026 S1

    59
    There are 4 boys and 6 girls to be seated in a circle for a photograph. The probability that no two boys are sitting together is...

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