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Functions question

2021 · 27 Jul · Shift 1 · Q45

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PYQ Library
JEE Main
Mathematics
Functions
2021 · 27 Jul · Shift 1 · Q45

Functions question

2021 · 27 Jul · Shift 1 · Q45

JEE MainMathematicsFunctionsNumerical+4 / −1

Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S

\to

S such that f(m . n) = f(m) . f(n) for every m, n

\in

S and m . n

\in

S is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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