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  • A box contains 10 distinct balls, then the number of ways of selecting at least one ball from it is Option: 1 255<div cl

A box contains 10 distinct balls, then the number of ways of selecting at least one ball from it is 

Option: 1

255


Option: 2

256


Option: 3

1024


Option: 4

1023


Answers (1)

best_answer

As we have learned

The number of ways in which a selection of NONE, ONE or MORE objects can be made from n DISTINCT objects is 

\ ^{n}C_{0}+\ ^{n}C_{1}+\ ^{n}C_{2}+..........+\ ^{n}C_{n}=2^{n}

 

Now,

Total number of ways = 2 ^{10} = 1024

But this includes a case when no ball is selected. So we remove that case

Required number of cases = 1024 - 1 = 1023

Posted by

jitender.kumar

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