Marcus is choosing 4 books to read from a list of 15 books. If order matters, how many ways can he choose to read the books? 4

32,760

23,760

60

32,760

Step-by-step explanation:

Given :

Since the order matters, we use the permutation relation :

Recall :

nPr = n! ÷ (n - r)!

n = 15 ; r = 4

15P4 = 15! ÷ (15 - 4)!

15P4 = 15! ÷ 11!

15P4 = (15 * 14 * 13 * 12)

15P4 = 32,760

true

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions