In how many different ways can a maximum of 2 fruits be selected out of 3 apples, 2 oranges, 2 mangoes and 1 peach?

  • Option 1)

    14

  • Option 2)

    15

  • Option 3)

    16

  • Option 4)

    17

 

Answers (1)

As we learnt in 

Rule for Combinations -

The number of ways in which a selection of NONE, ONE or MORE objects can be made from n DISTINCT objects is \ ^{n}c_{0}+\ ^{n}c_{1}+\ ^{n}c_{2}+..........\ ^{n}c_{n}=2^{n}.

-

 

 3A,20, 2M and 1 Peach

We can select one or two fruits

For one fruit there are 4 ways

For two fruits we can select two fruits in 3 ways

For two different fruits

They can be AO, AM,AP,OM,OP,MP

And in this selection, no fruit can be selected in one way .


Option 1)

14

Correct

Option 2)

15

Incorrect

Option 3)

16

Incorrect

Option 4)

17

Incorrect

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