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    Question

    In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.

    Quantity I: In how many ways can a committee consisting of 2 Managers and 5 Team Leaders be selected from a group of 7 Managers and 8 Team Leaders?

    Quantity II: How many distinct seven-letter arrangements, with or without meaning, can be formed using all the letters in the word "CASATAE"?

    A Quantity-I > Quantity-II Correct Answer Incorrect Answer
    B Quantity-I < Quantity-II Correct Answer Incorrect Answer
    C Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer
    D Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer
    E Quantity-1 ≤ Quantity-II Correct Answer Incorrect Answer

    Solution

    ATQ, Quantity I: Desired number of ways = 7C2 × 8C5 = 21 × 56 = 1176 Quantity II: Total number of words = 7!/3! = 840 So Quantity I > Quantity II.

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