At a certain event venue, there are 5 locations where one banner can be installed at each location. There are three types of banners: A, B, and C, with 1 banner of type A, 4 banners of type B, and 2 banners of type C. When selecting and installing 5 banners at the 5 locations to satisfy the following conditions, how many possible outcomes are there? (Note: banners of the same type are not distinguished from each other.) [3 points] (a) Banner A must be installed. (b) Banner B is installed in at least 2 locations. (1) 55 (2) 65 (3) 75 (4) 85 (5) 95
At a certain event venue, there are 5 locations where one banner can be installed at each location. There are three types of banners: A, B, and C, with 1 banner of type A, 4 banners of type B, and 2 banners of type C. When selecting and installing 5 banners at the 5 locations to satisfy the following conditions, how many possible outcomes are there? (Note: banners of the same type are not distinguished from each other.) [3 points]\\
(a) Banner A must be installed.\\
(b) Banner B is installed in at least 2 locations.\\
(1) 55\\
(2) 65\\
(3) 75\\
(4) 85\\
(5) 95