17. 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 (a) 9 (b) 20 12 (c) 40 (d) 120

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

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$\begin{matrix} C o l u m n - I & C o l u m n - I I (A) & T h e n u m b e r o f w a y s i n w h i c h a l l t h e s e & (P) & 3 c o i n s c a n b e d i s t r i b u t e d i f a l l c o i n s a r e i d e n t i c a l b u t a l l p o t s a r e d i f f e r e n t (B) & T h e n u m b e r o f w a y s i n w h i c h a l l & (Q) & 23 t h e s e c o i n s c a n b e d i s t r b u t e d i f a l l c o i n s a r e d i f f e r e n t b u t a l l p o t s a r e i d e n t i c a l (C) & T h e n u m b e r o f w a y s a l l t h e s e c o i n s c a n & (R) & 15 b e d i s t r i b u t e d s u c h t h a t n o p o t i s e m p t y i f a l l c o i n s a r e d i f f e r e n t b u t a l l p o t s a r e i d e n t i c a l (D) & T h e n u m b e r o f w a y s a l l t h e s e c o i n s c a n b e & (S) & 12 d i s t r i b u t e d s u c h t h a t n o p o t i s e m p t y i f a l l c o i n s a r e i d e n t i c a l b u t a l l p o t s a r e d i f f e r e n t \end{matrix}$

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