n!/2(n-1)!&n!/4!(n-4)!are in the ratio 2:1find n, x+yi=1+i whole square/1-i find x andy

n!/2(n-1)!&n!/4!(n-4)!are in the ratio 2:1

so, 12/(n-1)*(n-2)*(n-3) = 2

or, (n-1)*(n-2)*(n-3)= 6

so, n=4 (by hit n trial)

second part,  (1+i)^{2 =}  1 - 1 +2i = 2i

so, 2i/1-i * 1+i/1+i = 2i -2/2 = i -1 ( rationalize LHS)

now, x +iy = i -1

so, x = -1, y =1 (equate coefficient )

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