Multiple choice

There are 10 orange, 2 violet and 4 purple balls in a bag. All the 16 balls are drawn one by one and arranged in a row. Find out the number of different arrangements possible.

  1. 120210

  2. 120100

  3. 120120

  4. 102102

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total arrangements = 16! / (10! * 2! * 4!). 16! / (10! * 2 * 24) = (16 * 15 * 14 * 13 * 12 * 11) / 48 = 120120.

AI explanation

The total number of balls is 16, comprising 10 orange, 2 violet, and 4 purple balls. Using the formula for permutations of indistinguishable objects, the number of arrangements is 16! divided by (10! multiplied by 2! multiplied by 4!). This simplifies to 120120 possible arrangements.

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