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mathmath333
 one year ago
A bouquet has to be formed from 18 different flowers so
that it should contain not less than 3 flowers. How many
ways are there of doing this in ?
mathmath333
 one year ago
A bouquet has to be formed from 18 different flowers so that it should contain not less than 3 flowers. How many ways are there of doing this in ?

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2\(\large \color{black}{\begin{align} & \normalsize \text{ A bouquet has to be formed from 18 different flowers so}\ \hspace{.33em}\\~\\ & \normalsize \text{ that it should contain not less than 3 flowers. How many}\ \hspace{.33em}\\~\\ & \normalsize \text{ ways are there of doing this in ?}\ \hspace{.33em}\\~\\ & a.)\ 524288 \hspace{.33em}\\~\\ & b.)\ 262144 \hspace{.33em}\\~\\ & c.)\ 261972 \hspace{.33em}\\~\\ & d.)\ \normalsize \text{none of these} \hspace{.33em}\\~\\ \end{align}}\)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2I hope this isn't a circular permutations question, but just a normal combinations wala question.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2Is it \(\large \color{black}{\begin{align} & 2^{18}(1+2^{1}+2^{2}+2^{3})\hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2is answer option c.)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3The problem is equivalent to forming subsets with cardinality > 2 from a set with cardinality 18

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2\[2^{18}  \left(\binom{18}{0} + \binom{18}{1}+\binom{18}{2}\right)\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2oh no he beat me to it

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2one day I'll get my internet speed upgraded... one day...

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2hey but the answer given is option d.) none

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3lol PK I heard ACT provides higher speeds; mine is airtel, though http://www.acttv.in/index.php/products/actbroadband

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3@mathmath333 does it give any explanation ? we might get a different answer if we interpret it differently

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3Anyways, this is a trivial question. I feel not worth spending time... must be a typo or a mistake of author..

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2It doesn't has any explanation \(\large \color{black}{\begin{align} & 2^{18}(\dbinom{18}{0}+\dbinom{18}{1}+\dbinom{18}{2}+\dbinom{18}{3})=261158\hspace{.33em}\\~\\ \end{align}}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3you can have 3 flowers, so you should not subtract that

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2I know about ACT but I'm from Delhi. And I have Airtel too.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2ok i assume it to be typo

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2OH YOU'RE FROM BANGALORE. I'm so jealous, Ganeshie.

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.1yea c is correct ok the number of ways wuld be 18C0+18C1+18C2 + 18C3+18C4+18C5........18C1818C0  18C1 18C2 \[2^\left( 18 \right)118153\] =261972
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