Latest CAT Aptitude Question SOLUTION: Seven different objects must be divided among three people. In how many ways can this be done if atleast one of them must gets exactly 1 object ?a> 2484b> 1176c> 729d> 2424e> None

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(#M40010267) CAT HR Interview question Keep an EYE

Seven different objects must be divided among three people. In how many ways can this be done if atleast one of them must gets exactly 1 object ?a> 2484b> 1176c> 729d> 2424e> None

Asked In CAT prashanthi (12 years ago)

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Garima  (12 years ago)

In 1176 ways ,if atleast one of them must gets exactly 1 object.

Is this solution Helpfull? Yes (6) | No (7)  

akshat sinha  (9 years ago)

Ans:- None of these
You can verify my answer from Arun Sharma book
by clicking here
http://linkshrink.net/7jOvac

One of them get no object.
So it may be distributed as:-

1. when one of them get no object
0,1,6
Total ways= (7C0x7C1x6C6)3!=42
or
0,2,5
Total ways= (7C0x7C2x5C5)3!=126
or
0,3,4
Total ways= (7C0x7C3x4C4)3!=210

total ways
42+126+210=378

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