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write the following expression as a single combination, so that k does not equal 1 and n-k does not equal 1.

 

(10 choose 4) + (10 choose 5) + (11 choose 5) + (12 choose 5) + ..... + (29 choose 5) + (30 choose 5)= n choose k

 Aug 4, 2023
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(10 choose 4) + (10 choose 5) + (11 choose 5) + (12 choose 5) + ..... + (29 choose 5) + (30 choose 5)= 736,281

 

736,281 ==31 choose 25, or:

736,281 ==31 choose 6

 Aug 4, 2023

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