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A coin is tossed 8 times. In how many ways can we obtain 4 heads and 4 tails? - Mathematics and Statistics

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प्रश्न

A coin is tossed 8 times. In how many ways can we obtain 4 heads and 4 tails?

योग
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उत्तर

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

We can obtain 4 heads and 4 tails in `(8!)/(4!4!)`

= `(8 xx 7 xx 6 xx 5)/(4 xx 3 xx 2)`

= 70 ways

∴ In 70 different ways we can obtain 4 heads and 4 tails.

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अध्याय 3: Permutations and Combination - Exercise 3.4 [पृष्ठ ५७]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 3 Permutations and Combination
Exercise 3.4 | Q 3. (a) | पृष्ठ ५७
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