HeidiMercado9029 HeidiMercado9029
  • 24-02-2021
  • Engineering
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If a bicycle has 2 gears in the front, and 5 in the rear, how many different combinations of gears are possible?

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fichoh
fichoh fichoh
  • 28-02-2021

Answer:

10

Explanation:

Front gear = 2

Rear gear = 5

The number of possible combination of gears :

2 different gears :

We find the number of ways of selecting 1 front gear from 2 and also 1 rear gear from 5

2C1 * 5C1

nCr = n! ÷ (n-r)!r!

2C1 = 2 ÷ 1 = 2

5C1

5C1 = 5! ÷ (5-4)! * 1

5C1 = 5 ÷ 1 = 5

2C1 * 5C1

2 * 5 = 10

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