A bag contains 3 red 2 blue and 4 green balks all the balls being different The number of at most 5 ...........

Quantitative Aptitude (CDS) Permutation & Combination

A bag contains 3 red , 2 blue and 4 green balks , all the balls being different. The number of at most 5 balls containing balls of all the colours is?

520

258

524

528

Explanation:

The number of at most 5 balls containing balls of all the colors is
= 3C1 × 2C1 × 4C1 ( 6C2 + 6C1 + 6C0 )
= 3!/2!1! × 2!/1! × 4!/3!1! ( 6!/2!4! + 6!/1!5! + 6!/6! )
= 3× 2× 4 ( 15 + 6 + 1 )
= 24 × 22
= 528