### Brain Teasers

# Madadian Army

Major Steve is forming a five-person Special Task Group for the Madadian army. The group must contain one leader, two bomb-experts and two soldiers.

P, Q and R are possible bomb-experts. R, S and T are possible leaders. U, V and W are possible soldiers. Also, P and R prefers to work with each other in the same team. T prefers to work only if V works.

How many different possible Groups can Major Steve make?

P, Q and R are possible bomb-experts. R, S and T are possible leaders. U, V and W are possible soldiers. Also, P and R prefers to work with each other in the same team. T prefers to work only if V works.

How many different possible Groups can Major Steve make?

### Answer

Major Steve can make 8 different possible groups.As 2 bomb-experts to be selected from the given 3 and also P & R prefers to work together, PR must be there in all the possible Groups. Also, T prefers to work only if V works. It doesn't mean that V won't work without T.

Hence, possible groups are:

PR - S - UV

PR - S - VW

PR - S - WU

PR - T - UV

PR - T - VW

PQ - R - UV

PQ - R - VW

PQ - R - WU

Hence, 8 different groups are possible.

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

Comments hidden to avoid spoilers.

## Follow Braingle!