How are combinations and permutations useful in finding probabilities?

The number of permutations of n objects taken r at a time is determined by the following formula:P(n,r)=n!(n-r)!

The number of combinations of n objects taken r at a time is determined by the following formula: C(n,r)=n!/(n-r)!r!

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)