Question 25772
USE THE BOX METHOD
HAVE 9 BOXES FOR 9 POSITIONS TO BAT
THERE ARE 9 PEOPLE TO GO INCLUDING THE PITCHER
WE CAN SELECT ONE OUT 9-1=8 FOR 1 ST. POSITION AS PITCHER CANNOT GO IN FIRST FOUR , IN ...........................8 WAYS
WE CAN SELECT ONE OUT 8-1=7 FOR 2 ND.. POSITION  AS PITCHER CANNOT GO IN FIRST FOUR , IN ...........................7 WAYS
WE CAN SELECT ONE OUT 7-1=6 FOR 3 RD. POSITION  AS PITCHER CANNOT GO IN FIRST FOUR , IN ...........................6 WAYS
WE CAN SELECT ONE OUT 6-1=5 FOR 4 TH. POSITION  AS PITCHER CANNOT GO IN FIRST FOUR , IN ...........................5 WAYS
WE CAN SELECT ONE OUT 5 FOR 5 TH. POSITION  IN ..........5 WAYS
WE CAN SELECT ONE OUT 4 FOR 6 TH. POSITION  IN ..........4 WAYS
WE CAN SELECT ONE OUT 3 FOR 7 TH. POSITION  IN ..........3 WAYS
WE CAN SELECT ONE OUT 2 FOR 8 TH. POSITION  IN ..........2 WAYS
WE CAN SELECT ONE OUT 1 FOR 9 TH. POSITION  IN ..........1 WAY

HENCE NUMBER OF POSSIBILITIES =8*7*6*5*5*4*3*2*1=