Permutation & Combination

Q. Find the number of ways of selecting 10 objects out of 30 objects of which 10 are alike and rest are different?

2 Answers

106
Asish Mahapatra ·

20C10+20C9+...+20C0

62
Lokesh Verma ·

One better way than this Manoj could be that u select some of the different object...

which has to be less than half of 20 ie 10

so no of ways to select them is equal to half of total number of ways to select some of the 20 different objects..

So 220/2 = 219

You dont have to worry about the identical objects because whatever number you have selected (Say 6) you will select the remaining from identical ones( here 4)

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