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    How many six-letter words beginning with T can be formed using all the letters of the word TAREVL?

    a) 720

    b) 360

    c) 120

    d) 480

    e) None of these

    Option c – 120

    In a gathering of 12 students, if each student shakes hands exactly once with every other student, how many handshakes will take place?

    a) 66

    b) 132

    c) 144

    d) 91

    e) None of these

    Option a – 66

    How many different four-letter words can be formed from the letters of the word MEHA if H and M always appear together?

    a) 24

    b) 32

    c) 12

    d) 84

    e) None of these

    Option c – 12

    In a tournament, 66 matches were played, with each participant playing once against every other participant. How many players were there?

    a) 33

    b) 12

    c) 13

    d) 11

    e) None of these

    Option b – 12

    In how many ways can a student select 5 courses from 9 courses if 2 courses are compulsory?

    a) 35

    b) 25

    c) 45

    d) 95

    e) None of these

    Option a – 35

    How many two-digit even numbers can be formed using the digits 1, 2, 3, 4, 5, and 6, without repeating any digit?

    a) 6

    b) 5

    c) 15

    d) 30

    e) None of these

    Option c – 15

    From the letters of the word Chemistry, how many different three-letter words can be formed?

    a) 504

    b) 720

    c) 492

    d) 608

    e) None of these

    Option a – 504

    Seven people P, Q, R, S, T, U, and V are scheduled to speak at a meeting. In how many arrangements can they speak if P does not speak before Q?

    a) 5040

    b) 720

    c) 120

    d) 360

    e) None of these

    Option b – 720

    How many different four-digit numbers can be formed using the first four natural numbers if repetition is allowed?

    a) 224

    b) 218

    c) 576

    d) 256

    e) None of these

    Option d – 256

    How many different four-digit numbers can be formed from the first four natural numbers if no digit is repeated?

    a) 24

    b) 18

    c) 12

    d) 120

    e) None of these

    Option a – 24

    How many different four-digit numbers can be formed from the first four whole numbers if no digit is repeated?

    a) 24

    b) 18

    c) 12

    d) 120

    e) None of these

    Option b – 18

    Using all the letters of the word MEHNATI exactly once, how many different arrangements can be made?

    a) 7320

    b) 5040

    c) 720

    d) 12340

    e) None of these

    Option b – 5040

    What is the total number of distinct arrangements that can be formed using all the letters of the word KHERA exactly once?

    a) 60

    b) 180

    c) 120

    d) 140

    e) None of these

    Option c – 120

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