In how many ways can a subcommittee of four persons be formed from amongst four women and six men so that one particular man is always included ?

In how many ways can a subcommittee of four persons be formed from amongst four women and six men so that one particular man is always included ? Correct Answer 126

Total persons = 4 + 6 = 10 Possible ways =  10 - 1C4 - 1 = 9C3 = 84.
Bissoy MCQ

Related Questions

Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together?
Four men and 6 women finish a job in 8 days. while 3 men and 7 women finish it in 10 days. while 3 men and 7 women finish it in 10 days. In how many days will 10 women take to finish the work together?
In how many ways a 3-member committee can be formed from 3 men and 3 women such that a particular man is always in the committee?
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Differences in the way men and women process language are of special interest to brain researchers. It is known that 'aphasia' , a kind of speech disorder , is more common in men than in women when the left side of the brain is damaged in an accident or after a stroke. However , women are more likely than men to suffer 'aphasia' when the front part of the brain is damaged . The idea implied in the above passage is -
Two men and three women can repair a bridge in 10 days while three men and two women can to same work in 8 days. If two men and one woman are used to finish this work , in how many days they will complete it?
Six men can earn as much as eight women ,two women can earn earn as much as three boys and four boys can earn as much as five girls.If a girl can earn Tk. 50 a day , what amount can a man earn in a day?
Six men can earn as much as eight women, two women can earn as much as three boys and four boys can earn as much as five girls. If a girl can earn Tk. 50 a day, what amount can a man earn in a day?
From a group of 7 men and 6 women, five persons are to be selected to from a committee so that at least 3 men are there on the committee. In how many ways can it be done ?
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?