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Problem
Problem
Let
x
x
x
denote the total number of one-one functions from a set
A
A
A
with 3 elements to a set
B
B
B
with 5 elements and
y
y
y
denote the total number of one-one functions from the set
A
A
A
to the set
A
×
B
A \times B
A
×
B
. Then (a)
y
=
273
x
y = 273x
y
=
273
x
(b)
2
y
=
91
x
2y = 91x
2
y
=
91
x
(c)
y
=
91
x
y = 91x
y
=
91
x
(d)
2
y
=
273
x
2y = 273x
2
y
=
273
x
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