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Subjects
Class 11MathematicsPermutations and CombinationsCombinationsHard
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From (13) fruits (6) fruits are to be selected but exactly (2) of (5) special fruits are chosen. How many ways are there?

Answer and explanation

Correct answer: (700)

Choose (2) from the special fruits and (4) from the remaining (8). The ways are (\binom{5}{2}\binom{8}{4}=700).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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10 more MCQs
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  2. 2A student chooses one subject from 3 subjects and one game from 5 games. How many different selections are possible in total?
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  5. 5A meal plate offers 2 bread choices, 3 vegetable choices, and 2 dessert choices. In how many ways can a plate be prepared by choosing one item from each category?
  6. 6A bag contains pens in 3 different colors, markers in 4 different colors, and pencils in 2 different colors. In how many ways can one pen, one marker, and one pencil be chosen?
  7. 7A vehicle number consists of two letters followed by two digits. There are 4 choices for each letter and 10 choices for each digit. If repetition of letters and digits is allowed, how many distinct vehicle numbers can be formed?
  8. 8A bag has 6 red and 5 blue balls. Four balls are to be selected with equal numbers of both colours. How many selections are possible?
  9. 9If \(\frac{(n+2)!}{(n-2)!}=3024\), what is the value of \(n\)?
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