A) 6
B) 50
C) 150
D) None of these
Correct Answer: C
Solution :
[c] Number of ways of displaying without restriction \[={{3}^{5}}\] Number of ways in which all places are occupied by single variety \[=3\times 1\] Number of ways in which all places are occupied by two different varieties \[{{=}^{3}}{{C}_{2}}[{{2}^{5}}-2]\] [\[\because \] There are two ways when all places will be occupied by single variety each.] \[\therefore \] No. of way of displaying all three varieties \[={{3}^{5}}-3{{-}^{3}}{{C}_{2}}({{2}^{5}}-2)=150\]
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