Vidyalelo
Aptitude · Q90

Permutation And Combination

Competitive Exams · Aptitude · question 90

Q90

Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

A.
210
B.
29
Answer
C.
3 × 28
D.
None of these

Answer: Option B

Solution

Answer: Option 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