mysql> explain SELECT count(1) FROM a , b WHERE a.id = b.video_id and b.state = 1 AND b.column_id = '81'\G

*************************** 1. row ***************************
id: 1
select_type: SIMPLE
table: b
type: index_merge
possible_keys: columnid_videoid,column_id,state,video_time_stamp,idx_videoid
key: column_id,state
key_len: 4,4
ref: NULL
rows: 100
Extra: Using intersect(column_id,state); Using where
*************************** 2. row ***************************
id: 1
select_type: SIMPLE
table: a
type: eq_ref
possible_keys: PRIMARY
key: PRIMARY
key_len: 4
ref: b.video_id
rows: 1
Extra: Using where; Using index

mysql> show index from b\G

*************************** 1. row ***************************
Table: b
Non_unique: 0
Key_name: PRIMARY
Seq_in_index: 1
Column_name: id
Collation: A
Cardinality: 167483
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:
*************************** 2. row ***************************
Table: b
Non_unique: 1
Key_name: column_id
Seq_in_index: 1
Column_name: column_id
Collation: A
Cardinality: 8374
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:
*************************** 3. row ***************************
Table: b
Non_unique: 1
Key_name: state
Seq_in_index: 2
Column_name: state
Collation: A
Cardinality: 5
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:

mysql> show index from b;

*************************** 1. row ***************************
Table: b
Non_unique: 0
Key_name: PRIMARY
Seq_in_index: 1
Column_name: id
Collation: A
Cardinality: 128151
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:
*************************** 2. row ***************************
Table: b
Non_unique: 1
Key_name: idx_columnid_state
Seq_in_index: 1
Column_name: column_id
Collation: A
Cardinality: 3203
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:
*************************** 3. row ***************************
Table: b
Non_unique: 1
Key_name: idx_columnid_state
Seq_in_index: 2
Column_name: state
Collation: A
Cardinality: 3463
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:

mysql> explain SELECT count(1) FROM a , b WHERE a.id = b.video_id and b.state = 1 AND b.column_id = '81' \G

*************************** 1. row ***************************
id: 1
select_type: SIMPLE
table: b
type: ref
possible_keys: columnid_videoid,idx_videoid,idx_columnid_state
key: columnid_videoid
key_len: 4
ref: const
rows: 199
Extra: Using where
*************************** 2. row ***************************
id: 1
select_type: SIMPLE
table: a
type: eq_ref
possible_keys: PRIMARY
key: PRIMARY
key_len: 4
ref: b.video_id
rows: 1
Extra: Using where; Using index