The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>
A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:
Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
= 
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
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Answer:
a) P=0.535
b) P=0.204
c) P=0.286
Step-by-step explanation:
The exponential distribution is expressed as
In this example, λ=1/8=0.125 min⁻¹.
a) The probability of having to wait more than 5 minutes
b) The probability of having to wait between 10 and 20 minutes
c) The exponential distribution is memory-less, so it is independent of past events.
If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.
Answer : C
the total commission (c) a sales associate receives if he sells 15 laptop computers (l)
Total commission = number of laptops * commission for each laptop
Total commission is c
number of laptops is 15
commission for laptop is l
C = 15 * I
So c= 15l
the commission for selling each computer is $39.95
c= 15l
c = 15 * 39.95 = 599.25
Answer:
The slope m of a line is one of the elements in the equation of a line when written in the "slope and intercept" form: y = mx+b.
Step-by-step explanation:
