Questions

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Computes for combinations of n objects taken r at a time

Is the sentence true or false?

C(n,1)=n.C(n,1)=n.

Find number of ways to choose 2 Prizes from a Set of 6 Prizes.

Is the sentence true or false?

C(4,2)=6.C(4,2)=6.

Is the sentence true or false?

C(n,n)=1.C(n,n)=1.

Is the sentence true or false?

C(n,r)=C(n,n−r).C(n,r)=C(n,n-r).

Is the sentence true or false?

C(n,0)=n.C(n,0)=n.

Find the number of subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} having 3 elements.

The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is replaced.


How many different committees of 5 people can be chosen from 10 people?


Is the sentence true or false?

C(n,r)+C(n,r−1)=C(n+1,r).C(n,r)+C(n,r-1)=C(n+1,r).