From a class of 25 students, 10 are to be chosen for an excursion party, there are 3 students who decide that either all of them will join or none of them will join . In how many ways can the excursion party be chosen ?

A man has 6 friends. In how many ways can he invite one or more of them to a party?

A man has 7 friends . In how many ways may he invite one or more of them to party?

A man has 10 friends. In how many ways he can invite one of more of them to a party ?

In a school there are 100 students 60 of them don't like chocolate ad 50 don't like Biscuit and 10 of them like none then how many of them like both ?

In an assembly of 10 scholars , three are mathematicians and three are physicists , the others are both physicists and mathematicians . There are two rows containing 5 chairs and it is intended that all mathematicians are to be seated in one row and the physicsts in the other , the remaining scholars are to be seated in either row in the vacant positions left .In how many ways can all the scholars be seated ?

A man has 6 friends .how many ways can be invite one or more of them to a party?

If in praxis Business school 40 students like chocolate while 30 like cake,if there are 10 students who like both and an equal number of students who like none of them. Find the total number of students at Praxis Business school.

If in praxis Business school 40 students like chocolate while 30 like cake,if there are 10 students who like both and an equal number of students who like none of them. What percentage of student do not like cake ?

In how many ways can 4 subjects be chosen by two students so that each student should take at least one subject ?

A man has 7 relatives ,4 of them are ladies and 3 are gentlemen , his wife has also 7 relatives , 3 of them are ladies and 4 are gentlemen . In how many ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of the man 's relative and 3 of the wife 's relative ?