Two finite sets have m and n elements The number of elements in the power set of first set - Maths -

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

Global Expert · Accepted Answer

(c) 6, 4

ATQ :
2m-1=48+2n-1⇒2m-2n = 48⇒2m-2n = 26-24By comparing we get:m=6 and n=4

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

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