In how many ways can a bowler take four wickets in a single 6-ball over ?

Question

In how many ways can a bowler take four wickets in a single 6-ball over ? (A) 6 (B) 15 (C) 20 (D) 30

Tardigrade Admin · Accepted Answer

There are 6 balls in one over and 4 wickets are to be taken. So, 4 balls are to succeed. This can be done in 6 C 4 ways. ⇒ Required number of ways = 6 C 4=(6 !/4 ! 2 !) =(6 × 5/2)=15

Q. In how many ways can a bowler take four wickets in a single $6$ -ball over ?

6

15

20

30

There are $6$ balls in one over and $4$ wickets are to be taken.
So, $4$ balls are to succeed. This can be done in $^{6} C_{4}$ ways.
$\Rightarrow$ Required number of ways
$=^{6} C_{4} = \frac{6 !}{4 ! 2 !}$
$= \frac{6 \times 5}{2} = 15$

Q. In how many ways can a bowler take four wickets in a single 6-ball over ?

6

15

20

30

There are 6 balls in one over and 4 wickets are to be taken. So, 4 balls are to succeed. This can be done in 6C4​ ways. ⇒ Required number of ways =6C4​=4!2!6!​ =26×5​=15

Q. In how many ways can a bowler take four wickets in a single $6$ -ball over ?

There are $6$ balls in one over and $4$ wickets are to be taken.
So, $4$ balls are to succeed. This can be done in $^{6} C_{4}$ ways.
$\Rightarrow$ Required number of ways
$=^{6} C_{4} = \frac{6 !}{4 ! 2 !}$
$= \frac{6 \times 5}{2} = 15$