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Quantitative Aptitude

Pascal's Triangle

A bag contain...

Question

A bag contains 4 mangoes and 5 oranges. In how many ways can I make a selection so as to take atleast one mango and one orange?

A

465

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B

365

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C

8

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D

19

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Solution

The correct option is A 465
Atleast one mango can be selected = $2^{4} - 1 = 15$ ways. Atleast one orange can be selected = $2^{5} - 1 = 31$ ways. Hence, the required number of way = $15 t i m e s 31 = 465$ ways.

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