41. In how many different ways can the letters of the word ENGINEERING be arranged?
42. In how many different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the odd positions?
43. In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?
44. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
45. In how many different ways can the letters of the word DISPLAY be arranged?
46. In how many different ways can the letters of the word RIDDLED be arranged?
47. In how many different way can the letters of the word WEDDING be arranged?
48. A select group of 4 is to be formed from 8 men and 6 women in such a way that the group must have at least 1 women. In how many different ways can it be done ?
49. In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels always come together?
50. In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd positions?
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