Question

In how many ways can a cricket team be selected from a group of $25$ players containing $10$ batsmen, $8$ bowlers, $5$ all-rounders and $2$ wicket keepers? Assume that the team of $11$ players requires $5$ batsmen, $3$ all-rounders, $2$ bowlers and $1$ wicket keeper.

• A. $141100$
• B. $141105$
• C. $141110$
• D. $141120$

Answer 1

Answer: (D)

$141120$

Number of ways:
${=}^{10}{C}_5{.}^8{C}_2{.}^5{C}_3{.}^2{C}_1$
$=141120$ ways
Hence, option 'D' is correct.