There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if a

M4maths Previous Puzzles

17 Mar 2010 Fruits with different tags

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.

OPtion

1) 2048
2) 2047
3) 1024
4) 41
5) 30
6) 11
7) 510
8) 1
9) 1023
10)512

Solution

All the fruits are numbered with different tags, thus it can be considered that all fruits are different objects,
For each fruit, we have two choices- Either select the fruit or not
Hence total number of choices are 2*2*2…….11 times – 1 = 2047

Correct Option: 2 Best Solution (3)