Question

In how many ways can we decide batting order of Indian cricket team such that Tendulkar will always bat before Dhoni and Dhoni before Yuvraj and Yuvraj will never be the last person to bat

• A.
  4. 9!
• B. $\frac{4}{3}.10!$
• C.
  5. 9 !
• D. None of these

Answer 1

Answer: (B)

$\frac{4}{3}.10!$

Answer 2

As Yuvraj never be the last person to bat

\ he can be amongst the 8 positions i.e. ⁸C₁ total no. of arrangements so that Tendulkar will always bat before Dhoni and Dhoni before Yuvraj = $\frac{10!}{3!}$

\ total no. of ways = $\frac{10!}{3!}$.8 = $\left( \frac{4}{3} \right)$ 10!