The permutation value for
part (1) is option (C) 5040 and
part (2) is option (D) 3024 are the correct answers.
What is a permutation?
A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.
For the given situation,
The formula of permutation is
[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
The permutation for
(1) 10p4
⇒ [tex]10P_{4}=\frac{10!}{(10-4)!}[/tex]
[tex]=\frac{10!}{6!}[/tex]
[tex]=\frac{(10)(9)(8)(7)6!}{6!}[/tex]
[tex]=(10)(9)(8)(7)[/tex]
[tex]=5040[/tex]
(2) 9c4
⇒ [tex]9C_{4} =\frac{9!}{(9-4)!}[/tex]
[tex]=\frac{(9)(8)(7)(6)5!}{5!}[/tex]
[tex]=(9)(8)(7)(6)[/tex]
[tex]=3024[/tex]
Hence we can conclude that the permutation value for
part (1) is option (C) 5040 and
part (2) is option (D) 3024 are the correct answers.
Learn more about permutations here
https://brainly.com/question/1216161
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