The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Answer:
2
6
6
2
3
3
3
3
2
8
0
8
8
5
2
4
3
9
0
4
+
1
Step-by-step explanation:
The numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.
A way of writing numbers is known as a number system.
There are the following number systems:
- Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
- Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.
- Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.
- Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.
Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.
Learn more about number systems at
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Answer:
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Step-by-step explanation:
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