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Question 6 or 7 or both?
just 7th.... and thank you so muchQuestion 6 or 7 or both?
Q: 7: (ii)
This question, I have tried hard but I don't get why do we select 3C1? pleeease explain this part a littleQ: 7: (ii)
First find the number of ways in which the two persons who are refusing to be together are both included. So you'll have to make 1 more selection from the remaining 3 men to complete the group of 3 men. This will be done in 3C1 ways.
The total number of selections such that both of those two people are included are : 3C1 * 8C3 (8C3 is the selection of the 3 women from 8)
Now subtract this answer from the TOTAL Possible selections (5C3 * 8C3) to get the required answer which is that those two are not together on the committee.
So the answer will be: 5C3 * 8C3 - 3C1 * 8C3 = 392.
Consider the two men who are refusing to be together on committee are ManA & ManB. So first find the selections in which they are together on the committee:This question, I have tried hard but I don't get why do we select 3C1? pleeease explain this part a little
oh yes Exactly!! thank youConsider the two men who are refusing to be together on committee are ManA & ManB. So first find the selections in which they are together on the committee:
ManA ManB * ; WWW
^ this is the possible selection; there will be ManA and ManB, 3 women (8C3). Now 1 more man is needed from the remaining 3 to replace that asterick. So for selecting that 1 man there are 3C1 ways.
Get it?
sure.Rizwan Javed I have another question for P & C...can you please explain that too?
(i) There are 8 people. Take John (J) and Sara (S) and place them in a single group.
(i) There are 8 people. Take John (J) and Sara (S) and place them in a single group.
JS** ; ****
^these are the possible two groups. Now as John and Sarah have been placed together in one team, you have to select 2 other members for that team from the remaing 6. This will be in 6C2 ways. After this selection you are left with 4 people which will form the other group. 4C4 ways.
So combined, the possible selections are: 6C2 * 4C4
Now one group can go in either taxi P or Q. There are 2 choices. So you'll multiply ^ this answer of total possible selections with 2 because either group can in either taxi. 2 * 6C2 * 4C4
(ii) Mark sits in the first seat of taxi P. Since this seat is fixed for Mark, we won't consider it while calculating the possible arrangements.
John and Sarah sit together, so consider then as a group. In the group they can be arranged in 2 ways. Now in the back seat of taxi P there's one vacant seat. So from the remaining people first select 1 person to fill this seat. It will done in 5C1 ways. Now arrange that group of sara&john and this member you selected in the back seat. This will done in 2 * 2 * 5C1 ways.
There are 4 left now for Taxi Q. Simply arrange them in taxi Q by 4! ways.
So combined the possible arrangements are: 4! * 2 * 2 * 5C1
How can we use P here?U should learn to use P as well Not only C
I don't think P was applicable here I mean it was like I could have written those 2's as 2P2, or that 4! as 4P4 but these are same thingsU should learn to use P as well Not only C
You are to select 4 letters. 1 E is already selected. so from the remaining 6 you have to select 3 more letters to complete that selection of 4 letters.Rizwan Javed one last doubt please
View attachment 60545
How on earth is this 6C3?
I know that seperating the Es, we are left with VNZULA, 6 letters, but how comes 6C3?
thanks a lot!You are to select 4 letters. 1 E is already selected. so from the remaining 6 you have to select 3 more letters to complete that selection of 4 letters.
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