Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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2015 > Chapter 5: Solving Systems of Linear Equations by Elimination > Section Exercises 5.3 > Exercise 19
Describe the error in solving for one of the variables in the linear system 5x - 7y = 16 and z +7y = 8.
5x - 7y= 16
x+7y=8
4x
= 24
x=6
O The expression -7y + 7y does not equal 0.
O The expression -7y – 7y does not equal 0.
19
O The expression 16 – 8 does not equal 24.
O The expression 5x + a does not equal 4x.
Correct the error by solving for a.
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