There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if all fruits of same kind are numbered with different tags.

+1 vote

There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if all fruits of same kind are numbered with different tags.

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Answer is **41**.

**Solution:**

Number of ways of selecting one or more than one objects out of S1 alike objects of one kind, S2 alike objects of the second kind is

```
(S1 + 1) (S2 + 1)- 1
```

As per the formula, required number (5 + 1)(6 + 1) – 1 = (6× 7) – 1 = 41.

Reference link is here.

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