The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain exactly five 1 s and…

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
  1. 360
  2. 45
  3. 2520
  4. 1820

Solution

11111 222 00
No. of sequences $=\frac{10!}{5!3!2!}=2520$
Note : Sequence can start with 0. ,

Asked in: JEE Main 2025 (02 Apr Shift 1)

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