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1.
Some committees are to be formed from amongst 7 women Professors, 5 men Professors, 4 men Readers, 2 women Readers, 11 women Lecturers and 10 men Lecturers following the given conditions in each questions. In how many different ways can it be done based on the conditions?
[1] A committee of 10 in which there are 5 men and 5 women?
1). 39C10
2). 19C5*20C5
3). 19C5*20P5
4). (19P5*20P5)/39P10
5). None of these[2] A committee of 6 Professors in which at least 2 men are there.
(1) 350
(2) 700
(3) 812
(4) 2450
(5) None of these[3] A committee of 25 in which all the lecturers are there. Remaining seats among Professors and Readers.
(1) 12650
(2) 3060
(3) 64260
(4) 6100
(5) None of these[4] A committee of 15 in which only Lecturers are there.
(1) 13650
(2) 352716
(3) 15504
(4) 54264
(5) None of these[5] A committee of 4 Professors in which equal number of men and women are there.
(1) 495
(2) 248
(3) 35
(4) 40
(5) None of theseasked in CET(MH)
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