<h2>
Answer:</h2>
(a) P(11,5)= 55440
(b) C(11,5)=462
<h2>
Step-by-step explanation:</h2>
We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

(a)
P(11,5)

(b)
C(11,5)

Answer:
Circle A= 
Circle B =
Step-by-step explanation:
Circumference of a circle =
Since you are given the radius, you put it in place of r
Circle A = 
Circle B= 
Answer:
90 goats
Step-by-step explanation:
Number of chickens in farm = (1/5) of 150
= 
= 1 * 30
= 30
Number of cows in farm = 
= 1 * 30
= 30
Number of goats in farm = 150 - (30 + 30)
= 150 - 60
= 90
Answer:
44 Minutes
Step-by-step explanation:
If he takes for minutes per lap than some easy multiplication will do the job to find out how long 11 laps will take.
If he keeps running a lap in 4 minutes for every lap up, until the 11th lap, that means we multiply 11 times 4.
<em>Another example being, if I run 1 lap in 1 minute then if I ran 2 laps it would take me 2 minutes, because 1 times 2 is 2, and so fourth for each lap. So if I ran 11 laps it would take me 11 minutes because 11 times 1 is 11.</em>