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The number of ways of partitioning the set `{a,b,c,d}` into one or more non empty subsets is
A. `14`
B. `15`
C. `16`
D. `17`

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Correct Answer - B
`(b)` `{:("Partitioning",,"Number of ways"),(4"members",,1),(1+3"members",,(4!)/(1!3!)=4),(2+2"members",,(4!)/((2!)^(2)2!)=3),(1+1+2"members",,(4!)/((1!)^(2)2!2!)=6),(1+1+1+1"members",,(4!)/((1!)^(4)4!)=1),("Total",,15"ways"):}`

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