51. In how many ways can the letters of the word ‘MOMENT’ be arranged?
52. There are six teachers. Out of them two are primary teachers and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teachers and secondary teachers are always in a set . The number of ways in which they can do so, is-
53. In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
54. A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have at least 1 man?
55. In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?
56. In how many different ways can the letters of the word TOTAL be arranged?
57. In how many different ways can the letters of the word SMART be arranged?
58. $$\left( {{}^{75}{P_2} - {}^{75}{C_2}} \right) = ?$$
59. In how many different ways can the letters of the word ABSENTEE be arranged?
60. In how many different ways can the letters of the word OPERATE be arranged?
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