[latexpage]

# Counting

There are five boys A, B, C, D, E who are to form a team to accomplish a particular task. How many distinct teams can be formed that contains at least one of the boys such that A & B don’t want to be in same team and also C & D don’t want to be in same team?

1. 15
2. 16
3. 17
4. 18
5. None of these

### Solve our previous ‘questions of the day’

2. One boy each – 5
Pair of boys – 8
Group of 3 boys – 4
Total distinct teams = 17

3. Priyanka rathi

17
Correct me if m wrong about my method
A-3 ways
B-3
C-3
D-3
E-5 ways
Sum of all 17

• Nice instruction, thanks

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