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Quantitative Aptitude

Fundamental Principle of Counting

A basket has ...

Question

A basket has 5 oranges and 4 apples. In how many ways can you make a selection if you have to take at least 1 orange and 1 apple?

A

22

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B

345

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C

365

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D

465

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Solution

The correct option is D 465
At least 1 orange can be selected in $2^{5} - 1 = 31$ ways.

At least 1 apple can be selected in $2^{4} - 1 = 15$ ways.

Total no. of selections possible $= 31 \times 15 = 465$

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