JEE Main 2022 · 27 Jul · Shift 2 · Mathematics Q22

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MathematicsInteger+4 / -1Question 22 of 90

The number of functions $f$ , from the set $A=\left\{x\in\mathbf N:x^2-10x+9\le0\right\}$ to the set $B=\left\{n^2:n\in\mathbf N\right\}$ such that $f(x)\le(x-3)^2+1$ , for every $x\in A$ , is ______.

Your answer

Answer and worked solution

Official answer: 1440

Domain. $A=\{1,\dots,9\}$ . The squares allowed for $x=1,\dots,9$ number 2, 1, 1, 1, 2, 3, 4, 5, 6.

Product $1440$ .

Answer: 1440

Topics:Types of functions Fundamental principle of counting

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JEE Main 2022 · 27 Jul · Shift 2, Mathematics question 22