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A Coin is Tossed Three Times and the Outcomes Are Recorded. How Many Possible Outcomes Are There? How Many Possible Outcomes If the Coin is Tossed Four Times? Five Times? N Times? - Mathematics

A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? n times?

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Solution

Total number of outcomes when a coin is tossed once = 2 (Heads, Tails)
Number of outcomes when the coin is tossed for the second time = 2
∴  Number of outcomes when the coin is tossed thrice = `2xx2xx2=8`
Similarly, the number of outcomes when the coin is tossed four times =`2xx2xx2xx2=16`

Similarly, the number of outcomes when the coin is tossed five times  =`2xx2xx2xx2xx2=32`

Similarly, the number of outcomes when the coin is tossed 'n' times  = `2xx2xx.......n`times `= 2^n`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 36 | Page 16
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