Permutation and Combination

In Rajshahi 5 adults are unemployed for every 120 who have jobs. Out of 2125 adults how many have jobs?-2040
When a meeting of a committee was over every member shook hands with one another & the total number of handshske was 6. How many members were there in the meeting?-4
How many different committees of 3 members can be chosen out of 5 persons in a group so that one particular person is always chosen?-6
How many combinations are possible if a person has 4 sports jackets, 5 shirts and 3 pair of socks?-60
36 identical chairs must be arranged in rows with equal number of chairs in each row. Each row must be contain at least 3 chairs & there must be at least 3 rows. How many different arrangements are possible?-5
The area of a rectangle R with width 4 feet is equal to the area of a square S which has a perimeter of 24 feet. The perimeter of the rectangle R in feet is---26
How many signals can be given by 5 flags of different colours using 3 flags at a time.-60
Rahima wanted to arrange 3 of her 4 plants in a row on a shelf. If each of the plants is in a different colored container, how many different arrangements can she make?-24
In how many ways can the letters of the word 'LEADER' be arranged?-360
120 students in a class play cricket or football or both. If 75 students play cricket and 60 students play football, how many play both?-15
There are 20 members in a football squad. In electing a captain and a vice-captain, how many different outcomes of the election possible?-190
From 6 boys and 4 girls, 5 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 2 girls?-60
When a meeting of a committee was over every member shook hands with one another & the total number of handshakes was 10. How many members were there meeting?-5
In a container there are 2 green marbles and 2 red marbles. You randomly pick two marbles. What is the probability that both of them are green?-1/6
From 7 boys and 5 girls, 6 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 3 girls?-350
In how many ways can a subcommittee of five persons be formed from amongst 4 women & 6 men so that one particular man and one particular woman is always included?-56
Form a group of 7 men & 6 women 5 persons are to be selected to from acommittee so that at least 3 men are there on the committee. In how many ways can it be done?-756

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