Arithmetic Ability
Permutations and Combinations

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Q.

When six fairs coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads ?

View Answer

Correct choice: B

Explanation:

The question requires you to find number of the outcomes in which at most 3 coins turn up as heads. i.e., 0 coins turn heads or 1 coin turns head or 2 coins turn heads or 3 coins turn heads. The number of outcomes in which 0 coins turn heads is 6C0=1 The number of outcomes in which 1 coin turns head is =6C1=6 The number of outcomes in which 2 coins turn heads is6C2=15 The number of outcomes in which 3 coins turn heads is6C3=20 Therefore, total number of outcomes =1+6+15+20= 42 outcomes
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