Suppose that the PLAYERS table from the previous questions has $2000$ records stored in $100$ disk blocks and the following access paths:

A primary index on PlayerID. with levels $x$ PlaverD $=2.$

A clustering index on Gender, with levels $x$ Gendo $=4.$ There are a total of $3$ distinct values for Gender.

A bitmap index on Age that is stored in $2$ disk blocks. There are a total of $10$ distinct values for Age.

For each of the following selection operations, compute the cost of performing the operation using the brute force approach and the available indices. Justify which method is more cost$-$effective for each operation.

OP$1$: ${}_{\text{P}\text{l}\text{a}\text{v}\text{e}\text{r}\text{D}}=007($PLAYERS$)[5$ points$]$

OP$2$: ${}_{\text{G}\text{e}\text{r}\text{d}\text{e}\text{r}}=$ Female: $($PLAYERS $[5$ points$]$

OP$3$: ${}_{\text{G}\text{e}\text{n}\text{d}\text{e}\text{r}}=$ Female $1$ ID Ase NV PLA YERS$)[5$ points$]$