Assume total number of players to be 1200(in 2015)

Since there is an increase of 10% in 2016, the number of players will be 1320

We have the increase of female players as 15% over the previous year

and the decrease of male players as 5% over the previous year.

Since evaluating the answer options, containing the ratio of female to male players :

Option A(1:3) Initial Split : 900-Male,300-Female Total : 1200

Final Split : Male : 900-5%(45) = 855, Female: 300+15%(45) = 345 Total : 1200(not equal to 1320)

Option B(1:2) Initial Split : 800-Male,400-Female Total : 1200

Final Split : Male : 800-5%(40) = 760, Female: 400+15%(60) = 460 Total : 1220(not equal to 1320)

Option C(3:2) Initial Split : 480-Male,720-Female Total : 1200

Final Split : Male : 480-5%(24) = 456, Female: 720+15%(108) = 828 Total : 1284(not equal to 1320)

Option D(2:1) Initial Split : 400-Male,800-Female Total : 1200

Final Split : Male : 400-5%(20) = 380, Female: 800+15%(120) = 920 Total : 1200(not equal to 1320)

Option E(3:1) Initial Split : 300-Male,900-Female Total : 1200

Final Split : Male : 300-5%(15) = 285, Female:900+15%(135) = 1035 Total : 1320

Hence

Option E is the correct answer option.

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