In how many ways can 5 boys and 5 girls be seated at a round table no two girls may be together ?
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The number of boys and girls in a class are in the ratio 7:5.The number of boys is 8 more than the number of girls. What is the total class strength?
Let the no. of girls be 5x No. of boys=7x According to the question 5x+8=7x 7x-5x=8 2x=8 x=8/2 x=4 No. of girls=5*4=20 no. of boys=7*4 or 5*4+8=28 Hence the total strength of the class is 20+28=48
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2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room
Let us denote 2 boys and 2 girls in room X as B1, B2 and G1, G2 respectively. Let us denote 1 boy and 3 girls in room Y as...
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In a family, having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is 1/4.
False, because the outcomes are not actually, likely. For no girl, the outcome is bbb, for one girl, it is bgb, gbb, bbg, for two girls, it is bgg, ggb, gbg and...
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Make a list of toys and games that boys typically play and another for girls. If there is a difference between the two lists,
List of toys and games that boys play with: cars, guns, swords, buses, railway trains, lions, etc. (toys), cricket, kabaddi, hockey, football etc. (games). List of toys and games that...
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The number of ways in which 10 persons can sit round a circular table so that none of them has the same neighbours in any two arrangements.
10 persons can sit round a circular table in 9! ways. But here clockwise and anticlockwise orders will give the same neighbours. Hence the required number of ways =1/29 !
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In how many ways can 5 prizes be given away to 4 boys, when each boy is eligible for all the prizes?
Any one of the prizes can be given in 4 ways; then any one of the remaining 4 prizes can be given again in 4 ways, since it may even...
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In how many different ways can the letters of the word BOOKLET be arranged such that B and T always come together?
(b) Treat B and T as a single letter. Then the remaining letters (5 + 1 = 6) can be arranged in 6! ways. Since, O is repeated twice, we...
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4 boys and 2 girls are to be seated in a row in such a way that the two girls are always together. In how many different ways can they be seated?
(d) Assume the 2 given students to be together (i.e one]. Now there are five students. Possible ways of arranging them are = 5! = 120 Now, they (two girls) can arrange themselves...
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There are 1224 students in a school in which 600 are girls. What is the ratio of boys to girls in the school?
(a) Total number of students = 1224 Total number of girls = 600 Total number of boys = 1224 - 600 = 624 Required ratio = 624 :600 = 26 : 25
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In how many ways can four children be made to stand in a line such that two of them, A and B are always together?
(b) Take, A and B to be always together as a single entity. Now, total no. of children = 4 – 2 + 1 = 3 These can be arranged...
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