Maths · Simple applications

Six X's have to be placed in the square of given figure such that each row conta

Six X's have to be placed in the square of given figure such that each row contains at least one X. Then number of ways doing so are

  • A. 28
  • B. 26
  • C. 6 \)
  • D. \( 8 ! .6 \)

Step-by-step solution

The figure is a 2x4 grid (8 squares). Total ways to choose 6 squares out of 8 is C(8,6)=28. Since each row has 4 squares, it is impossible to place all 6 X's in a single row, so every selection automatically ensures each row has at least one X. Hence, the number of valid ways is 28.
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