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Six different beads are threaded in a straight line, and the red bead must not be at either end. How many arrangements are possible?

Competition practicePermutations & Combinations
  • A720
  • B240
  • C480
  • D600

Step-by-Step Solution

Red bead: one of the 4 middle places. The other 5 beads fill the rest in ways. . (Check: )
Answer: C) 480

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