Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

Two finite sets have m and n elements. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Find the values of m and n.
Asked by Topperlearning User | 17 Apr, 2014, 10:00: AM
answered-by-expert Expert Answer

                G i v e n :
space space space space space 2 to the power of m minus 2 to the power of n equals 112

rightwards double arrow 2 to the power of n open parentheses 2 to the power of m minus n end exponent minus 1 close parentheses equals 112

rightwards double arrow 2 to the power of n open parentheses 2 to the power of m minus n end exponent minus 1 close parentheses equals 2 to the power of 4 cross times 7 equals 2 to the power of 4 open parentheses 2 cubed minus 1 close parentheses

rightwards double arrow n equals 4 space a n d space m minus n equals 3

rightwards double arrow m equals 7

Answered by | 17 Apr, 2014, 12:00: PM
CBSE 11-science - Maths
Asked by munsikhan543 | 01 Oct, 2020, 09:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by cri71661 | 18 Sep, 2020, 09:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by monisaselvakumar | 19 Jun, 2019, 09:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Priyanshibisht30 | 26 Feb, 2019, 04:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 28 Jul, 2014, 12:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 17 Apr, 2014, 10:02: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×