Jee mains 2016 Mathematics 49

If all the words (with or without meaning) having five letters, formed using the letter of the word "SMALL" and arranged as in a dictionary; Then find the position of the word SMALL.

58th 52th 46th 59th

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1 solution

Starting with A A , there are 4 ! = 24 4!=24 possible words. But 12 12 are repeated twice(because of 2 2 L's) so there are 12 12 words staring with A A .

Starting with L L . there are 4 ! = 24 4!=24 possible words and none repeats.

Staring with M M , there are same number of words as A A which is 12 12 .

Now Starting with S S

There are 3 3 words with second letter A A .

There are 6 6 words with second letter L L .

The word S M A L L SMALL is the next words after this.

There have been 24 + 12 + 12 + 3 + 6 = 57 24+12+12+3+6=57 till now.

Thus S M A L L SMALL is the 5 8 t h 58^{th} word.

@Rishabh Deep Singh Did this question appear in JEE MAIN 2016? How was your paper?

A Former Brilliant Member - 5 years, 2 months ago

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It wasn't Good.

Yes it appers in JEE-Mains 2016

Rishabh Deep Singh - 5 years, 2 months ago

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I thought paper was tough and that's why I screwed my paper... :-( ... What about you?? @Rishabh Deep Singh

Rishabh Jain - 5 years, 2 months ago

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@Rishabh Jain Yes it was tough.

Chemistry was also tough.

Rishabh Deep Singh - 5 years, 2 months ago

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@Rishabh Deep Singh This question is a ripped off ( but modified) version from a JEE paper as I recall.

The difference is that the word there was COCHIN :-)

Pulkit Gupta - 5 years, 2 months ago

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@Pulkit Gupta JEE Mains Just Do (Ctrl+C) and (Ctrl+V)

Rishabh Deep Singh - 5 years, 2 months ago

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@Rishabh Deep Singh Haha :D ( Brilliant please start allowing such responses :P )

Pulkit Gupta - 5 years, 2 months ago

It's right but there is a little mistake with the numbers. Those 14 14 are 12 12 actually.

Alex Spagnoletti - 5 years, 2 months ago

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Oops thanks fixed. Don't know why I entered 14.

A Former Brilliant Member - 5 years, 2 months ago

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sometimes the hand writes things that we do not think ahahah :)

Alex Spagnoletti - 5 years, 2 months ago

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