Sagot :
Answer:
(see explanation)
Step-by-step explanation:
Permutation is the act of arranging things from a possible pool of selection into a sequence. It differs from combination in a way that permutation gives importance to order.
A situation that involves arranging things into an order illustrate a permutation. For example, if you arrange 10 students in a line. A student in the 1st spot is a different arrangement to the same student in the 7th spot.
Also, a situation that involves arranging things into specific places also illustrate order. For example, if you choose winners, 1st place, 2nd place and 3rd place from a pool of contestants. A contestant winning 2nd place is different from that same contestant getting 3rd place.
Another example is forming an n-digit number with the digits given to you. For example, if we are to form a 2-digit number from the digits 1, 2, 3, 4, and 5; the order is important. 21 uses the same digits as 12 but they are 2 different numbers.
The formula for the permutation, that is taking r things from n possible things when the order matters is
\frac{n!}{(n-r)!}
(n−r)!
n!
The ! symbols is called "factorial". In simple terms
x! = (x)(x-1)(x-2)...(3)(2)(1)x!=(x)(x−1)(x−2)...(3)(2)(1)
For example,
4!= 4*3*2*1 = 244!=4∗3∗2∗1=24
Note that 0! = 1, and 1! = 1.
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Answer:
Permutation is the act of arranging things from a possible pool of selection into a sequence. It differs from combination in a way that permutation gives importance to order.
A situation that involves arranging things into an order illustrate a permutation. For example, if you arrange 10 students in a line. A student in the 1st spot is a different arrangement to the same student in the 7th spot.
Also, a situation that involves arranging things into specific places also illustrate order. For example, if you choose winners, 1st place, 2nd place and 3rd place from a pool of contestants. A contestant winning 2nd place is different from that same contestant getting 3rd place.
Another example is forming an n-digit number with the digits given to you. For example, if we are to form a 2-digit number from the digits 1, 2, 3, 4, and 5; the order is important. 21 uses the same digits as 12 but they are 2 different numbers.
Step-by-step explanation:
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