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C(n,r)=______

Short Answer

Expert verified

The complete statement isC(n,r)=n!(n-r)!r!.

Step by step solution

01

Step 1. Given information.

The given statement is:

C(n,r)=_______

02

Step 2. Determine the value for the blank. 

The number of arrangements of nobjects using r≤nof them, in which

  • The nobjects are distinct
  • Once an object is used, it cannot be repeated,
  • Order is not important.

is given by the formula:

C(n,r)=n!(n-r)!r!

03

Step 3. Conclusion.

The complete statement isC(n,r)=n!(n-r)!r!.

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