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Mathematics 14 Online
OpenStudy (anonymous):

plse help

Directrix (directrix):

Think of the two English papers as being stuck together. Then, you have 7 papers. 7 papers can be arranged in 7*6*5*4*3*2*1 ways which is denoted by 7!. Crank out what that equals. @sale Post what you get. That will not be the answer because we have one more "thing" to do.

OpenStudy (anonymous):

wat is meant by consecutive in this question

Directrix (directrix):

I asked you to do something and when you do it, then we will be able to get into the consecutive calculation. Consecutive means this: following one another in uninterrupted succession or order; successive: six consecutive numbers, such as 5, 6, 7, 8, 9, 10. 7 papers can be arranged in 7*6*5*4*3*2*1 ways which is denoted by 7!. Crank out what that equals. @sale

OpenStudy (anonymous):

5040

Directrix (directrix):

Correct. That is for 7 pages, one of which is two English papers stuck together. The two English papers are stuck together because they have to be consecutive. But, we do not know which one comes before the other. So, there are 2 ways that the two English papers can be back-to-back. So, the answer to the question you posted is 7! * 2! which is 5040 times 2 which equals ? @sale

Directrix (directrix):

Question @sale ?

Directrix (directrix):

5040 times 2 = ? for the answer.

OpenStudy (anonymous):

10080

Directrix (directrix):

Yes, so there are 10,080 ways that the 8 papers can be placed in order with the two English papers consecutive.

OpenStudy (anonymous):

do u know permutation and combination?

OpenStudy (anonymous):

i hav another doubt

Directrix (directrix):

Yes, we just did a permutation. Permutations have to do with order. Combinations have to do with groups.

OpenStudy (anonymous):

4 boys and 3 girls sit around a circular table to have a sip of coffee. In how many ways can they be seated such that no 2 girls are together?

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