Latest MBA Aptitude Question SOLUTION: There are five fruits - Banana, Apple, Orange, Pear and Mango - which are to be served among six boys. If no fruit can be served to more than one boy, and the fruits are served ran

• Placement Papers
• /
• MBA

MBA Question Papers:

(#M40015887) MBA question permutations and combinations, probability Keep an EYE

There are five fruits - Banana, Apple, Orange, Pear and Mango - which are to be served among six boys. If no fruit can be served to more than one boy, and the fruits are served randomly, find the probability that all the five fruits were served to exactly three boys.PLEASE EXPLAIN THE APPROACH..this is an AIMCAT QUESTION.

1) 5/8
2) 25/54
3) 55/108
4) 125/324

Asked In MBA (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (1)   (3) Submit Your Solution

Read Solution (1) :

Joydeep Debnath  (9 years ago)

fruits can be distributed in 7 different ways..
1. 113000 = 5C3*2C1*6! /(3!*2!) = 1200 [ 3! is for 3 boys who got Zero Fruits and 2! is for 2 boys who got 1 fruit each]

2. 111110 = 5C1*4C1*3C1*2C1*1*6!/5! = 5!*6!/5! = 720

3. 121100 = 5C2*3C1*2C1*6!/(3!*2!) = 3600

4. 122000 = 5C2*3C2*1*6!/(3!*2!)= 1800

5. 140000 = 5C4*1*6!/4! = 150

6. 230000 = 5C3*2C2*6!/4! = 300

7. 500000 = 5C5*6!/5! = 6

Total= 1200+720+3600+1800+150+300+6 = 7776..
Favorable cases are = Case no-1 and Case no-4 where Fruits are distributed among 3 boys..
i.e. total favorable cases = 1200+1800 =3000

Probability = 3000/7776 = 125/324 ............... ANSWER.

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.