SOLUTION: a sport center has 12 gates, 5 are on the west side, and 7 are on the east side. in how many different ways can a person enter by a west gate and leave by an east gate?

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Question 791699: a sport center has 12 gates, 5 are on the west side, and 7 are on the east side. in how many different ways can a person enter by a west gate and leave by an east gate?
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
For entry event: 1 gate to be selected from 5 gates on West - 5 ways
For exit event: 1 gate to be selected from 7 gates on East - 7 ways

Entry and exit events are associated with each other.

No. of ways can a person enter by a west gate and leave by an east gate = 5x7 = 35.