permuation and combination, Mathematics

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how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant

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For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia ,  f

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