Mathematics

Question

Evaluate 9 P 5.

15,120
45
362,880

2 Answer

  • The answer------>  9*8*7*6*5 = 15120 
  • Answer: 15,120

    Step-by-step explanation:

    The number of permutations of n objects taken r at one time [tex]^nP_r[/tex] is calculated by the following formula:

    [tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

    Now, the given  expression is [tex]^9P_5[/tex]

    by using the above formula , we get

    [tex]^9P_5=\frac{9!}{(9-5)!}\\\\=\frac{9!}{4!}\\\\=\frac{9\times8\times7\times6\times5\times4!}{4!}\\\\=9\times8\times7\times6\times5=15120[/tex]

    Hence, [tex]^9P_5=15,120[/tex]

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