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ead the following write up carefully and answer the following questions:
If a cricket team of 11 players is to be selected from 8 batsman,66 bowlers, 4 all rounder and 2 wicket keepers, then
The number of selections when atmost 1 all rounder and 1 wicket keeper will play, is
  • a)
    4C1. 14C10 + 2C114C10 + 4C1 2C12C1 . 14C9 + 14C11
  • b)
    4C1 . 15C11 + 15C11
  • c)
    4C1 . 15C11 + 15C11
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
ead the following write up carefully and answer the following questio...
When 1 all rounder and 10 players from bowlers and batsman play, then number of ways
= 4C114C10
When 1 wicket keeper and 10 players from bowlers and batsman play, then number of ways
= 2C114C10
When 1 all rounder 1 wicket keeper and 9 from batsmen and bowlers play number of ways
= 4C12C114C10
When all eleven players play from bowlers and batsmen then the number of ways = 14C11
∴ Total number of selections
= 4C1. 14C10 + 2C114C10 + 4C1 2C12C1 . 14C9 + 14C11
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ead the following write up carefully and answer the following questions:If a cricket team of 11 players is to be selected from 8 batsman,66 bowlers, 4 all rounder and 2 wicket keepers, thenThe number of selections when atmost 1 all rounder and 1 wicket keeper will play, isa)4C1. 14C10 + 2C1 ⋅ 14C10 + 4C1 ⋅ 2C12C1 . 14C9 + 14C11b)4C1 . 15C11 + 15C11c)4C1 . 15C11 + 15C11d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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