a basket contains 9 apples, of which two are rotten. a sample of three apples is selected at random. in how many ways can two rotten apples be chosen?



Answer :

Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.

Given,

Number of apples in the basket = 9 apples

Number of rotten apples = 2 apples

Number of apples selected as sample = 3 apples

We have to find the number of ways can two rotten apples be chosen.

Here,

2 of 3 apples should be rotten.

Then,

  • First two apples rotten and last one apple fresh.
  • First and last apples are rotten and second one is fresh
  • First apple is fresh and last two apples are rotten.

That is,

Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.

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