Bess and Carolina and their 14 classmates write their names on cards. The teacher, Miss Scott, picks two cards without replacing
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Answer:
<h2>There are 5040 different possible sequences.</h2>Step-by-step explanation:
Three identical notches and four identical bends are required in the sheet metal operation.
In total 7 things are required in the metal operation.
We can think it as we need to put the 3 notches and 4 bends in 7 places.
First, lets put the 3 notches in 3 places.
In order to do so, we need to choose 3 places from the 7 places.
We can choose 3 places in ways.
The 3 notches can be arrange in 3! = 6 ways.
The 4 bends can arrange in 4! = 24 ways.
Thus, in total different possible sequences.
we are given
we can also write it as
now, we can use factor formula
we can use above formula
we get
now, we can simplify it
now, we can set it to 0
and then we can solve for x
now, we can use quadratic formula
now, we can plug values
and we get
So, we will get solution as
...............Answer