The number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
Since order is important, we use permutations to answer the question
<h3>What are permutations?</h3>
These are the number of ways, x of arranging n objects. It is given by ⁿPₓ = n(n - 1)(n - 2)(n - 3)...(n - x + 1) = n!/(n - r)!
Since we have five people to be arranged in line, there are 5 people to be arranged in 5 places.
So, there are 5 places for the first person, 4 places for the second person, 3 places for the third person, 2 places for the fourth person and 1 place for the last person.
So, we number of permutations or number of ways of arranging them in line is ⁵P₅ = 5 × 4 × 3 × 2 × 1
= 120 ways
So, the number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
Learn more about permutations here:
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-9y + 3 is the answer to your Simplify equation
Answer:
7 hr * 12 days = 84 hours
10*84 = 840 man-hrs to build the wall
----
14 men * 8 hr = 112 man-hrs/day
840/112 = 7.5 days
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
f(x) is just the y value for a given value of x
When x = -2 y = 4
f(-2) = 4
Answer:
<h2>
<u>GIVEN</u><u> </u>- </h2>
- Water tank which is in a shape of right rectangular prism
Dimensions = 6 feet × 4 feet × 7 feet
<h3><u>TO</u><u> </u><u>FIND</u><u> </u><u>-</u><u> </u>
</h3>
<h2><u>SOLUTION</u>
- </h2>
<em><u>Using</u></em><em><u> </u></em><em><u>formula</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>surface</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>rectangular</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>
Surface area =
L = length
w = width
h = height
( assumimg 6 feet = L , 4 feet = W , 7 feet = h)
Putting value of L, W and H in the equation. we get,
=2(4 × 6 + 7 × 6 + 7× 4)
= 2(24 + 42 + 28)
= 2( 94)
= 2 × 94
= 188