Find out the value of n element of a set, Mathematics

Assignment Help:

A set consists of (2n+1) elements. If the number of subsets of this set which consist of at most n elements is 8192. Find out the value of n.

Ans: The following set has (2n + 1) elements. The number of subsets of this set comprising at the most n elements is following by formula

2n + 1C0 + 2n + 1C1 + 2n + 1C2 + ..... 2n + 1Cn = (1/2)22n+1 =2 2n

This figure is given to be 8192, so 22n = 8192 ⇔ 22n = 213 ⇔ 2n = 13 ⇔ n = 6.5

 Hence n = 6.5.

 


Related Discussions:- Find out the value of n element of a set

Mathematics Warm-Ups for CCSS, Ask question #Minimum 100 words accepted wha...

Ask question #Minimum 100 words accepted what is a ratio

Show that p ( x ) = 2 x3 - 5x2 -10 x + 5 intermediate value , Example   Sh...

Example   Show that p ( x ) = 2 x 3 - 5x 2 -10 x + 5 has a root somewhere in the interval [-1,2]. Solution What we're actually asking here is whether or not the function wi

Value of the game-game theory, Value Of The Game The game value refers ...

Value Of The Game The game value refers to the average pay off per play of the game over an extended period of time

Real exponents, It is a fairly short section.  It's real purpose is to ackn...

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

Example to understand means to count, Place ten pebbles (or any other such ...

Place ten pebbles (or any other such objects) in front of a child who can recite number names upto ten in the correct sequence. Ask him/her to count them aloud while touching the p

Parallel vectors - applications of scalar multiplication, Parallel Vectors ...

Parallel Vectors - Applications of Scalar Multiplication This is an idea that we will see fairly a bit over the next couple of sections.  Two vectors are parallel if they have

The quantity x + 6 is divided by negative four find number, Negative four i...

Negative four is multiplied through the quantity x + 8. If 6x is then added to this, the output is 2x + 32. What is the value of x? twice the quantity x + 6 is divided by negative

Discount, outdoor grill- regular price:$360 discount:33 1/3%

outdoor grill- regular price:$360 discount:33 1/3%

Fractions rates and ratios, In 6th grade I am learning about ratios rates a...

In 6th grade I am learning about ratios rates and fractions. I am working on vmathlive.com and need serious.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd