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  • A bag contains 5 identical red balls and 6 distinct black balls, then number of ways of selecting atleast one ball is Option: 1 381 </d

A bag contains 5 identical red balls and 6 distinct black balls, then number of ways of selecting atleast one ball is 

Option: 1

381 


Option: 2

382 


Option: 3

383 


Option: 4

384 


Answers (1)

best_answer

The person can select 0 or 1 or 2 or 3 or 4 or 5 red balls: (5+1) options

As black balls are distinct:

For first black (B1) ball: 2 options (select it or reject it)

Similarly 2 options for each of the remaining 5 black balls

Number of ways to select black balls = 26

[We can also use the formula for selecting any number of objects from 6 distinct objects = 2n = 26 ]

So, number of ways = (5+1) 2^6 -1 = 383 (1 is subtracted to remove the case where no ball is selected)

Posted by

seema garhwal

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