Question

⦁ Evaluate ⦁ 6! ⦁ 8P5 ⦁ 12C4

Answer 1

n! = n(n-1)(n-2)(n-3)....
∴6! = 6×5×4×3×2×1 = 720
⁸P₅ =
`(8!)/((8-5)!) = (8*7*6*5*4*3*2*1)/(3*2*1) = 6720`
¹²C₄ =
`(12!)/(4!*(12-4)!) = (12*11*10*9*8*7*6*5*4*3*2*1)/(4!*8!)`
=
`(12*11*10*9*8*7*6*5*4*3*2*1)/(4*3*2*1*8*7*6*5*4*3*2*1) = 495`

Answer 2

6! = 6 * 5 *4*3*2*1 =720

8p5 = 8*7*6*5*4 = 6720

12C4 = (12p4)/4! = (12*11*10*9)/4*3*2*1 = 495