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  • A bike shop offers 5 different frames, 3 different seat styles, and 2 different handlebar styles. How many different bike combinations can be made, if repetition of frames and styles is a

A bike shop offers 5 different frames, 3 different seat styles, and 2 different handlebar styles. How many different bike combinations can be made, if repetition of frames and styles is allowed?

 

 

 

Option: 1

15


Option: 2

30


Option: 3

45

 


Option: 4

60


Answers (1)

best_answer

To find the total number of bike combinations, we need to multiply the number of options for each component together.

Using the multiplication principle of counting, we get:

\mathrm{Number\: of \: bike \: combinations = Number \: of \: frame\: options \times Number \: of \: seat\: options \: \times\: Number \: of \: handle\: bar \: options}

Substituting the given values to get,

Number of bike combinations =5\times 3\times 2

Multiplying these values together, we get:

Number of bike combinations = 30

Therefore, there are 30 different bike combinations that can be made from the given options, if repetition of frames and styles is allowed.

Posted by

shivangi.bhatnagar

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