Question 96

The number of positive integers n in the range $$12 \leq n \leq 40$$ such that the product (n -1)(n - 2)…*321 is not divisible by n is

Solution

positive integers n in the range $$12 \leq n \leq 40$$ such that the product (n -1)*(n - 2)*…*3*2*1 is not divisible by n, implies that n should be a prime no. So there are 7 prime nos. in given range. Hence option B.

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The number of positive integers n in the range $$12 \leq n \leq 40$$ such that the product (n -1)*(n - 2)*…*3*2*1 is not divisible by n is

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The number of positive integers n in the range $$12 \leq n \leq 40$$ such that the product (n -1)(n - 2)…*321 is not divisible by n is