The function f is defined for all the positive integers h by the following rule: f(h) is the number ...
The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?
Answer/Solution
p-1
Steps/Work
The moment you put a prime number in the function f(h), notice that all the numbers lesser than h have no divisor clashing with divisor of h since h is prime!!.
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A