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Evaluate 8p5 and 12C4. please show answer step by step.

Whitney Matthews

in Mathematics

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Heather Maxwell on April 19, 2018

Hello :)8P5 and 12C4⁸P₅ = is 8! divided by ( 8 - 5 )!! is called the factorial You can see in the image I've attached of how factorial is calculatedLet we do it separately:8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 403203! = 3 x 2 x 1 = 6Let us to combine: = 672012C₄ is 12! divided by ( 4! times ( 12 - 4 )! ) = Let's do it separately:12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479001600( 4! )( 8! ) = ( 4 x 3 x 2 x 1 )( 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ) = 24 x 41320 = 967680Let we combine:= 495


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