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The range of the function f(x)=15xPx8 is

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a
{1, 6, 20, 24}
b
{1, 6, 10, 15}
c
{1, 4, 11, 15}
d
{1, 8, 11, 19}

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detailed solution

Correct option is A

We must have 15−x≥1 and x−8≥0  and 15−x≥x−8 ⇒ 8≤x≤11  Now,f(8)=7P0=1, f(9)=6P1=6f(10)=5P2=20, f(11)=4P3=24,Thus, range of f is {1, 6, 20, 24}.


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