ffabelo3959 ffabelo3959
  • 09-06-2021
  • Mathematics
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A family has a bike rack that fits seven bikes, but they only have 5 bikes. How many ways can they fit these bikes on the rack

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okpalawalter8
okpalawalter8 okpalawalter8
  • 11-06-2021

Answer:

[tex]x=21 ways[/tex]

Step-by-step explanation:

From the question we are told that:

Bike space [tex]N=7[/tex]

Number of Bike [tex]n=5[/tex]

Generally the equation for This combination is mathematically given by

 [tex]x=^NC_n[/tex]

 [tex]x=^7C_5[/tex]

 [tex]x= \frac{7!}{5!2!}[/tex]

 [tex]x= 7*6/2[/tex]  

 [tex]x=21 ways[/tex]

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