M4maths Previous Puzzles

19 May 2016 How many different ways

There are 5 Apple and 6 Orange. 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) 1
3) 1024
4) 41
5) 30
6) 11
7) 510
8) 2047
9) 1026
10)1023

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

Option 8)

Correct Option: 8 Best Solution (1)