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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation !(7)-C(6,1)*!(6)+C(6,2)*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1) .
Question type: Mathematical calculation
Solution:
!(7)-C(6,1)*!(6)+C(6,2)*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-C(6,1)*!(6)+C(6,2)*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*!(6)+C(6,2)*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+C(6,2)*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-20*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-20*24+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-20*24+15*!(3)-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-20*24+15*6-C(6,5)*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-20*24+15*6-6*!(2)+C(6,6)*!(1)
=5040-6*720+15*120-20*24+15*6-6*2+C(6,6)*!(1)
=5040-6*720+15*120-20*24+15*6-6*2+1*!(1)
=5040-6*720+15*120-20*24+15*6-6*2+1*1
=5040-4320+15*120-20*24+15*6-6*2+1*1
=5040-4320+1800-20*24+15*6-6*2+1*1
=5040-4320+1800-480+15*6-6*2+1*1
=5040-4320+1800-480+90-6*2+1*1
=5040-4320+1800-480+90-12+1*1
=5040-4320+1800-480+90-12+1
=720+1800-480+90-12+1
=2520-480+90-12+1
=2040+90-12+1
=2130-12+1
=2118+1
=2119
Answer:!(7)-C(6,1)*!(6)+C(6,2)*!(5)-C(6,3)*!(4)+C(6,4)*!(3)-C(6,5)*!(2)+C(6,6)*!(1)=2119