Let 
. Then the number of one-one functions 
, where 
denote the power se of S, such that 
where 
is ________
Text Solution
Verified by Experts3240
(3240)
Case-1
S i.e. 1 option.
any 5 element subset A of S i.e. 6 options,
any 4 element subset B of A i.e. 5 options
any 3 element subset C of B i.e. 4 options
any 2 element subset D of C i.e. 3 options
any 1 element subset E of D or empty subset i.e.3
Options,
Total functions = 1080
Case-2
any 5 element subset A of S i.e. 6 options,S i.e. 1 option.
any 4 element subset B of A i.e. 5 options
any 3 element subset C of B i.e. 4 options
any 2 element subset D of C i.e. 3 options
any 1 element subset E of D i.e. 2 options
empty subset i.e. 1 option
Total functions = 720
Case-3
S
any 4 element subset A of S i.e. 5 options
any 3 element subset B of A i.e. 4 options
any 2 element subset C of B i.e. 3 options
any 1 element subset D of C i.e. 2 options
empty subset i.e. 1 option
Total functions = 320
Case-3
S
any 4 element subset A of S i.e. 6 options
any 3 element subset B of A i.e. 10 options
any 2 element subset C of B i.e. 3 options
any 1 element subset D of C i.e. 2 options
empty subset i.e. 1 option
Total functions = 360
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