Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The

Question

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The value of m - n is

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 2
As `2^(m)-2^(n)=48=16xx3=2^(4)xx3`
`implies2^(n)(2^(m-n)-1)=2^(4)(2^(2)-1)`
`therefore n=4 and m-n=2`
n = 4 and m = 6
Now, m - n = 2

4 views Answered 2023-02-05 15:29