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:
1/2
Step-by-step explanation:
1/2=10/20
Answer:
about 0.037
Step-by-step explanation:
A suitable probability calculator can provide the probability that 7 inches will be exceeded. It is about 0.036815.
The probability the store will have to refund money is about 0.037.
Answer:
f(-2) = 3
Step-by-step explanation:
Given that,
f(x) = x + x + 7
We need to find the value of f(-2).
Put x = -2 in the given function.
f(-2) = (-2) + (-2) + 7
= -2-2+7
= -4+7
= 3
Hence, the value of f(-2) is equal to 3.