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  • A bouquet from 11 different flowers is to be made so that it contains not less than three flowers. The number of different ways of forming the bouquet must be<

A bouquet from 11 different flowers is to be made so that it contains not less than three flowers. The number of different ways of forming the bouquet must be

Option: 1

1900


Option: 2

1920


Option: 3

1980

 


Option: 4

1981


Answers (1)

best_answer

Required number of ways 

           \begin{aligned} & =2^{11}-\left({ }^{11} C_0+{ }^{11} C_1+{ }^{11} C_2\right) \\ \\& =2048-(1+11+55) \\ \\& =2048-67=1981 \end{aligned}

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Gaurav

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