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

Partial Differentiation, If the sides angles of a triangle ABC vary in such...

If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0

Problem Solving, the low temperature in anchorage alaska today was negative...

the low temperature in anchorage alaska today was negative four degrees what is the difference in the two low temperatures

Calculate the area of the ade and compare it with abc, The vertices ...

The vertices of a ? ABC are A(4, 6), B(1. 5) and C(7, 2). A line is drawn to intersect sides AB and AC at D and E respectively, such that AD/AB = AE/AC = 1/4 .Calculate the  ar

Compute simple addition, John was doing his homework on vertical addition, ...

John was doing his homework on vertical addition, and had to compute : 5 3+ 3 4  and 6 8 +45 He did the first one easily, just the way his teacher had taught him. He first ad

Concept, uses of maths concept

uses of maths concept

Least cost method in operations research, algorithm and numerical examples ...

algorithm and numerical examples of least cost method

Abstract algebra, How many homomorphism are there from z2 to z3. Zn is grou...

How many homomorphism are there from z2 to z3. Zn is group modulo n

Determine how many square centimeters, Determine how many square centimeter...

Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.

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