Let s = {a, b, c). find the following:
a) the number of reflexive relations on s
b)the number of reflexive and symmetric relations on s

The number of reflexive relations on S  is 64.

The number of reflexive and symmetric relations on S  is 8.

Step-by-step explanation:

Consider the provided set S = {a, b, c}.

The number of elements in the provided set is 3.

Part (a) the number of reflexive relations on S

To calculate the number of reflexive relation on S we can use the formula as shown:

Total number of Reflexive Relations on a set: .

Where, n is the number of elements.

In the provided set we have 3 elements, so substitute the value of n in the above formula:

Hence, the number of reflexive relations on S  is 64.

Part(b) The number of reflexive and symmetric relations on S.

To calculate the number of reflexive and symmetric relation on S we can use the formula as shown:

Total number of Reflexive and symmetric Relations on a set: .

Where, n is the number of elements.

In the provided set we have 3 elements, so substitute the value of n in the above formula:

Hence, the number of reflexive and symmetric relations on S  is 8.

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1

a rotation about point l

step-by-step explanation:

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