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Byju's Answer
Standard XII
Mathematics
Union
Two finite se...
Question
Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then, the values of m and n are:
(a) 7, 6
(b) 6, 3
(c) 7, 4
(d) 3, 7
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Solution
(c) 6, 4
ATQ :
2
m
-
1
=
48
+
2
n
-
1
⇒
2
m
-
2
n
=
48
⇒
2
m
-
2
n
=
2
6
-
2
4
By
comparing
we
get
:
m
=
6
and
n
=
4
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