Question:

Out of 800 boys in a school. 224 played cricket, 240 played hockey and 336 played basket ball.of the total 64 played both basket ball and hockey ; 80 played cricket and basket ball and 40 played cricket and hockey, 24 played all the three games. The number of boys who did not play in any game is

Updated On: Jul 6, 2022
  • 128
  • 216
  • 240
  • 160
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The Correct Option is D

Solution and Explanation

Answer (d) 160
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Concepts Used:

Permutations and Combinations

Permutation:

Permutation is the method or the act of arranging members of a set into an order or a sequence. 

  • In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point. 
  • A permutation is used in many events of daily life. It is used for a list of data where the data order matters.

Combination:

Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.

  • Combination refers to the combination of about n things taken k at a time without any repetition.
  • The combination is used for a group of data where the order of data does not matter.