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A coin is tossed 8 times. In how many ways can we obtain (a) 4 heads and 4 tails? (b) at least 6 heads?

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A coin is tossed 8 times. All heads are identical and all tails are identical.

(a) 4 heads and 4 tails are to be obtained.

 ∴ Number of ways it can be obtained  = \(\frac{8!}{4!4!}\) = \(\frac{8\times7\times6\times5}{4\times3\times2}\) = 70

(b) At least 6 heads are to be obtained.

∴ Outcome can be (6 heads and 2 tails) or (7 heads and 1 tail) or (8 heads)

∴ Number of ways it can be obtained =

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