The expression 3C2 represents the number of ways of:

a choosing 2 items at a time from a set of 3. c. arranging, in order, 2 items from a set of 3.

b. choosing 3 items at a time from a set of 2. d. arranging, in order, 3 items from a set of 2.

Option a.

Step-by-step explanation:

The given expression is  

C denotes combination and P denotes permutation.

means choosing r items at a time from a set of n.

means arranging r items at a time from a set of n.

The given expression is a combination, where n=3 and r=2. It means the given expression represents the number of ways of choosing 2 items at a time from a set of 3.

Therefore, the correct option is a.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

2425

step-by-step explanation: