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CBSE Class 11-commerce Answered

Question no 9
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Asked by Payal | 22 Feb, 2018, 05:49: PM
answered-by-expert Expert Answer
begin mathsize 16px style Total space number space of space subsets space of space first space set space is space 2 to the power of straight m
Total space number space of space subsets space of space first space set space is space 2 to the power of straight n
2 to the power of straight m equals 56 plus 2 to the power of straight n
2 to the power of straight m minus 2 to the power of straight n equals 56
2 to the power of straight n open parentheses 2 to the power of straight m over 2 to the power of straight n minus 1 close parentheses equals 56
2 to the power of straight n open parentheses 2 to the power of straight m minus straight n end exponent minus 1 close parentheses equals 7 cross times 2 cubed
Comparing space both space sides
straight n equals 3 space and space 2 to the power of straight m minus straight n end exponent minus 1 equals 7
2 to the power of straight m minus straight n end exponent minus 1 equals 7
2 to the power of straight m minus straight n end exponent equals 8
2 to the power of straight m minus straight n end exponent equals 2 cubed
straight m minus straight n equals 3
as space straight n equals 3
straight m minus 3 equals 3
straight m equals 6
end style
Answered by Sneha shidid | 23 Feb, 2018, 10:22: AM

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