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    In a reunion of class XII, out of 45 students, 30 students participated in the function. If all present in the function shake hands with one other, fi
    Question

    In a reunion of class XII, out of 45 students, 30 students participated in the function. If all present in the function shake hands with one other, find the total number of handshakes.

    A.

    435

    B.

    870

    C.

    841

    D.

    900

    Correct option is A

    Given:

    Total students present = 30

    Formula Used:

    Total Handshakes = n(n1)2\frac{n(n-1)}{2}

    Solution:

    Total Handshakes = 30×292\frac{30 \times 29}{2}

    15×29{15 \times 29}​ = 435

    435\boxed{435 }​​

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