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Hace 3 días · And 3 girls can also arrange among themselves in \[n=3!=6\] ways Now, from the fundamental principle of multiplication, we can say that the number of ways in which 4 boys and 3 girls are seated in a row so that boys and girls are seated alternatively will be equal to \[m\times n=24\times 6=144\] ways. Thus, the required number of ways will be ...
Hace 3 días · Then we can insert this block of girls in the 8 spaces between the 7 boys or at the beginning or end of the line of boys, which gives us 9 positions to place the block of girls. Once the block of girls is placed, we can permute the 7 boys in 7! ways. Therefore, the total number of ways that two or more girls sit together is 5! × 9 × 7!
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Hace 3 días · Hint: There are only two types. of such representation where no two girls and no two boys are together. Permutation of girls and boys in seating arrangements will lead to the result. Complete step-by-step answer: We have to make an arrangement where no two boys or girls will sit together. Notice that if the row starts with a boy then the next ...
Hace 3 días · Hint: In this question it is given that, in a group there are 6 boys and 4 girls, we have to find in many ways four children are to be selected such that at least one boy should be there. So to find the solution we need to first find how many ways we can select 4 children from (6+5)=10 children( no restriction) and after that we will find the number of ways to form a group of 4 children where ...
Hace 5 días · Now, let us find the number of places in which girls can be placed. We are given that no two girls are together. Here, we can see that the only possibility is arranging the girls between the boys. Here, we can see that we have arranged \[m\] boys so that there are \[m+1\] places between them. This is because the first place and the last place ...
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