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Permutation and Combination
January 30, 2004
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
| (A) | 210 | | (B) | 29 | | (C) | 3*28 | | (D) | 3*29 | | (E) | None of these |
Correct Answer Choice (B)
Solution:
When a coin is tossed once, there are two outcomes. It can turn up a head or a tail.
When 10 coins are tossed simultaneously, the total number of outcomes = 210
Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.
Therefore, the remaining 9 coins can turn up either a head or a tail = 29
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