Question:

The number of sequences of ten terms, whose terms are either 0 or 1 or 2, that contain exactly five 1’s and exactly three 2’s, is equal to:

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Use multinomial coefficients for arranging repeated elements in a sequence.
Updated On: Apr 27, 2025
  • 360
  • 45
  • 2520
  • 1820
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The Correct Option is C

Solution and Explanation

We are arranging 5 ones, 3 twos, and 2 zeros in 10 positions: \[ \text{Number of sequences} = \frac{10!}{5!3!2!} = 2520 \]
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