Questions
The number of ways of choosing n objects out of (3n + 1) objects of which n are identical and (2n + 1) 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=22nSimilar Questions
is equal to
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