1.
i)Out of the 4 men we can select only one man in 4C1 way and from remaining 3 men we can select 2 men in 3C2 ways,
So total ways of forming the committee is 4*3*5C2=12*10=120
ii)Out of the 4 men if no one is in the committee then from remaining 3 men we can select 3 men in 3C3 ways.
So total ways to forming the committtee is 1*5C2=10
So answer is 120+10=130
2.
i)Selecting only one woman out of 2 is 2C1
Total number of ways=2C1*3C1*7C3=6*35=210
ii)Selecting no woman out of the 2 is 2C0=1
Total number of ways=3C2*7C3=105
So answer is 210+105=315.