anonymous
  • anonymous
You have 7 balls that are each a different color of the rainbow. In how many distinct ways can these balls be ordered?
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 7 49 343 5,040
ybarrap
  • ybarrap
Start easy. If you had one ball, how many ways can you order it?
anonymous
  • anonymous
looks like @ybarrap has this one!

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anonymous
  • anonymous
whats the answer ?
anonymous
  • anonymous
each of the seven balls is distinct; there are \(7!\) such ways of arranging them since there are \(7\) possibilities for the first ball of the order, the other \(6\) for the second, the remaining \(5\) for the third, then \(4\), \(3\), \(2\), and ultimately \(1\) for the final position -- so \(7\times6\times5\times4\times3\times2\times1=7!=5040\)
anonymous
  • anonymous
d
anonymous
  • anonymous
thank you

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