A committee of 12 members is to be formed from 9 women and 8 men. The number of committees in which the women are in majority is
2720
2702
2270
2278
A student has to answer 10 out of 13 questions in an examination choosing atleast 5 questions from the first 6 questions. The number of choice available to the student is
63
91
161
196
C.
161
There are two cases arise.
Case I When 5 questions are selected from first 6 questions and next 5 questions are selected from 7 questions.
:. Number of ways =
= = 126
Case II When 6 questions are selected from first 6 questions and next 4 questions are selected from 7 questions.
:. Number of ways =
=
Thus, required number of way = 126 + 35 = 161