- Using the permutations formula, it is found that the value of 4P2 is 6, given by option a.
- Using the combinations formula, it is found that the value of 10C6 is 210, given by option a.
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Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
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[tex]4P2 = P_{4,2} = \frac{4!}{2!} = 4 \times 3 = 6[/tex]
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Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
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[tex]10C6 = C_{10,6} = \frac{10!}{6!4!} = 210[/tex]
For the permutations formula, a similar problem is found at https://brainly.com/question/24245547
For the combinations formula, a similar problem is found at https://brainly.com/question/24278448
