First slide

Combinations

Question

The number of binary sequences of length n that contain even number of 1’s is

Moderate

A

$2^{n - 1}$
B

$2^{n} - 1$
C

$2^{n} - 2$
D

none of these

Solution

$n_{C_{0}} + n_{C_{2}} + n_{C_{4}} + . . . . . . = 2^{n - 1}$

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