Question

In how many ways a selection can be made of at least one fruit out of 5 bananas, 4 mangoes and 4 almonds?

Answer 1

Answer:

149

Step-by-step explanation:

From 5 bananas we have 6 choices available (0, 1, 2, 3, 4 or 5). Similarly 4 mangoes and 4 almonds can be chosen in 5 ways each. So total ways = 6 x 5 x 5 = 150 possible selections. But in this 150, there is one selection where no fruit

is chosen.

So required no. of ways 150-1 = 149

Answer 2

Answer:

There are 149 ways in which a selection can be made of at least one fruit out of 5 bananas, 4 mangoes and 4 almonds.

Step-by-step explanation:

As per the data given in the question,

We have,

Total no of ways of selecting 1 or 0 banana=6 (0,1,2,3,4,5)

Total no of ways of selecting 1 or 0 mangoes = 5 (0,1,2,3,4)

Total no of ways of selecting 1 or 0 almonds = 5 (0,1,2,3,4)

Therefore,

all possible outcomes = $6\times 5\times5 = 150$

Out of 150, we need to neglect one case in which 0 banana, 0 mangoe and 0 almond was selected.

So, the answer is

150-1= 149

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