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  4. Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is

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Q. Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is

Permutations and Combinations

Solution:

Required number of ways $=\frac{6 !}{3 ! 3 !}$
$=\frac{720}{6 \times 6}=20$
[No. of heads $=3$, no. of tails $=3$ and coins are identical]