# CAT 2023 Probability, Combinatorics Questions with Answers

#### Probability, Combinatorics

Probability and combinatorics covers selection with and without repeatation,selection with arrangement, derangement, number of integral solutions, grouping, probability, and conditional probability. Check out the questions with detailed solutions given below to reinforce your concepts.

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Instructions

For the following questions answer them individually

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# There are ‘x’ boxes each containing notes of denominations Rs. 10, Rs. 20, Rs. 50, Rs. 100 and Rs. 500 in infinite number. Exactly 9 notes are randomly taken from each of the boxes. What is the minimum possible number of boxes needed to make sure that atleast 8 notes of the same denomination are taken out in total?

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