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Ten players, as listed in the table below, participated in a rifle shooting competition comprising of $10$ rounds. Each round had $6$ participants. Players numbered $1$ through $6$ participated in Round $1$, players $2$ through $7$ in Round $2,\dots,$ players $5$ through $10$ in Round $5$, players $6$ through $10$ and $1$ in Round $6$, players $7$ through 10, 1 and 2 in Round 7 and so on. The top three performances in each round were awarded $7, 3$ and $1$ points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the $10$ players after Round $6$ and Round $10$.

Player NO. | Player Name | Points after Round 6 | Points after Round 10 |
---|---|---|---|

$1$ | Amita | $8$ | $18$ |

$2$ | Bala | $2$ | $5$ |

$3$ | Chen | $3$ | $6$ |

$4$ | David | $6$ | $6$ |

$5$ | Eric | $3$ | $10$ |

$6$ | Fatima | $10$ | $10$ |

$7$ | Gordon | $17$ | $17$ |

$8$ | Hansa | $1$ | $4$ |

$9$ | Ikea | $2$ | $17$ |

$10$ | Joshin | $14$ | $17$ |

The following information is known about Rounds $1$ through $6$:

1. Gordon did not score consecutively in any two rounds.

2. Eric and Fatima both scored in a round.

The following information is known about Rounds $7$ through $10$:

1. Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.

2. Joshin scored in Round $7$, while Amita scored in Round $10$.

3. No player scored in all the four rounds.

Which three players were in the last three positions after Round $4$?

- Bala, Chen, Gordon
- Bala, Hansa, lkea
- Bala, Ikea, Joshin
- Hansa, Ikea, Joshin