Let G be a group of order n that acts operates non-trivially on a set of size r. Prove that if n > r!, then G has a proper normal subgroup. (A proper subgroup of G is a subgroup that is neither trivial nor equal to G.)

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation:

16 is the coefficient

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