Questions
The number of ways of choosing n objects out ofobjects of which n are identical and are distinct, is
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a
22n
b
22n+1
c
22n−1
d
none of these
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Correct option is A
If we choose k(0≤k≤n) identical objects, then we must choose (n – k) distinct objects. This can be done in 2n+1Cn−k ways. Thus, the required number of ways=∑k=0n 2n+1Cn−k=2n+1Cn+2n+1Cn−1+…+2n+1C0=22n.Similar Questions
is equal to
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