Maths is a little without Sets!

Probability Level 1

$\large\color{darkred}{B=\{ \{ M,A,T,H,S \} \}}$

Find the cardinal number of the set $\color{darkred}{B}$ .

Note: The cardinal number of a set is equal to the number of elements contained in the set.

Bonus question given with the picture.

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0 5 1 6 4 None of the given choices

2 solutions

Brock Brown
May 28, 2015

Python 2.7:

1 2	`B = [['M','A','T','H','S']] print "Answer:", len(B)`

Python has a 'set' data type, and it does not allow a set to contain a set. For example:

1	`A = set(set('M', 'A', 'T', 'H', 'S'))`

Gives the error: TypeError: unhashable type: 'set'

So, be careful when assuming that data types behave the same as math entities. Usually, math notation is much more flexible!

Dan Wilhelm - 5 years, 11 months ago

Hey man!Why do you use CS for such simple problems??I mean this was a one second question!!Do you even know how to count!!??(sorry to be rude but i needed to express my anger)

Adarsh Kumar - 6 years ago

You've got to stop taking things so seriously man. Stop and enjoy life for a while, you're going to give yourself a heart attack. Sniff the crap of out some roses.

Because $A$ is a set of 1 set, its cardinality is $\boxed{1}$ . I figured it out before I wrote the code, I just thought that the code was a good demonstration.

Also, I do know how to count:

Python 2.7:

1
2
3

count = 0
while True:
    count += 1

Brock Brown - 6 years ago

Hahahahahaha nice!

Adarsh Kumar - 6 years ago

Soham Nimale
May 22, 2020

No proper solutions woul u like to be notified.....

It is a set inside a set

So no.= 1

See properly and use logic

Maths is a little without Sets!

Bonus question given with the picture.

Join the Brilliant Classes and enjoy the excellence. Also checkout Foundation Assignment #2 for JEE.

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