of ways in which the letters x1,x2,.....,x10,y1,y2,....,y15x1,x2,.....,x10,y1,y2,....,y15 can be arranged in the linesuch that the suffixes of xx and those of yy are in ascending order of magnitude is 25P1025P10.

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Sum of series 2[n/2] ! [n/2]!/ n! [2Co-2C2+3C2....+[-1]^n[n+1]2Cn] where n is an even positive integer. Kindly provide solution of this question and how to generalise this. How do we know that which expansion will give this?

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