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In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together ?

120
720
4320
2160
Additional Questions

In how many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together ?

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How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

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A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 women. The shortlist consists of 9 men and 6 women. In how many ways can this be done?

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