PS: Don't have the OA.
A compartment has 10 seats - 5 seats facing the engine and the other 5 facing away from the engine. Of the 10 passengers, 4 prefer to face the engine, 3 prefer away and 3 have no preference. In how many ways can the passengers be arranged on their preference?
@rachit_28 said:A mother distributes 5 different apples among 8 children.(i) How many ways can this be done if each child receives at most one apple?
Select any five and arrange them
8!/3!
Is it right?
8!/3!
Is it right?
@rkshtsurana said:no of primes in 1- 50 = 15then 53 , 59 , 61 = 18 ?
donno the exact answer
but i asked upto 60 nly..
hence according to u.. it might be 17 (exclude 61)
but i asked upto 60 nly..
hence according to u.. it might be 17 (exclude 61)
@rachit_28 said:A compartment has 10 seats - 5 seats facing the engine and the other 5 facing away from the engine. Of the 10 passengers, 4 prefer to face the engine, 3 prefer away and 3 have no preference. In how many ways can the passengers be arranged on their preference?PS: Don't have the OA.
5*4!*10*3!*3! = 43200
@rachit_28 said:A compartment has 10 seats - 5 seats facing the engine and the other 5 facing away from the engine. Of the 10 passengers, 4 prefer to face the engine, 3 prefer away and 3 have no preference. In how many ways can the passengers be arranged on their preference?PS: Don't have the OA.
Let A set of seats be facing the engine and B be away
4 will go to A and 3 to B
Out of remaining passengers select one for A--->3c1
Arange both sets--->5!*5!
Ans 3c1*5!*5!
43200
4 will go to A and 3 to B
Out of remaining passengers select one for A--->3c1
Arange both sets--->5!*5!
Ans 3c1*5!*5!
43200
@rachit_28 said:A compartment has 10 seats - 5 seats facing the engine and the other 5 facing away from the engine. Of the 10 passengers, 4 prefer to face the engine, 3 prefer away and 3 have no preference. In how many ways can the passengers be arranged on their preference?PS: Don't have the OA.
5c4*5c3*4!*3!*3!=43200
@rachit_28 said:A mother distributes 5 different apples among 8 children.(i) How many ways can this be done if each child receives at most one apple?PS: Don't have the OA.
8c5*5!
@rachit_28 said:Please explain, PnC mein fundae clear nhi hai..
(5C4 * 4! ) = arranginng those 4 ppl who prefer in one bench facing engine
(5C3 * 3!) = arranging those 3 ppl who prefer in one bench facing against engine
3! = arranging those ppl who have no preference
(5C3 * 3!) = arranging those 3 ppl who prefer in one bench facing against engine
3! = arranging those ppl who have no preference
@rachit_28 said:A mother distributes 5 different apples among 8 children.(i) How many ways can this be done if each child receives at most one apple?PS: Don't have the OA.
8C5*5! ways
@rachit_28 said:@sujamait mujhe is question ka thought process batao, mere liye ye bhi difficult ho raha hai PnC
first select those 5 guys who will get 1 apple each..so selecting 5 guys outa 8 in 8C5 ways..
now,you have 5 apples which you have to distribute to these 5 guys..which can be done in 5! ways..
hence the answer.
........................................
@rachit_28 said:Please explain.
Distribution of distinct objects into distinct cells when a cell can hold only one object
Let no of objects be O
Let no of cells be C
Case 1
If O=C
Number of ways=O!
Case 2
If O
Number of ways=C!/(C-O)!
Case 3
If O>C
Number of ways=OPC
Here 5 apples and 8 children, as apples are distinct Select 5 children for a apple can be done in 8c5 ways and arrange them as apples are distinct =8c5*5!=8!/3!
In case of distinct and mixed objects logic differs.
Let no of objects be O
Let no of cells be C
Case 1
If O=C
Number of ways=O!
Case 2
If O
Number of ways=C!/(C-O)!
Case 3
If O>C
Number of ways=OPC
Here 5 apples and 8 children, as apples are distinct Select 5 children for a apple can be done in 8c5 ways and arrange them as apples are distinct =8c5*5!=8!/3!
In case of distinct and mixed objects logic differs.
Q) Number of ways in which 3 numbers in A.P. can be selected from 1, 2, 3,...... n is:
a ((n-1)/2)^2 if n is even
b n(n-2)/4 if n is odd
c ((n-1)^2)/4 if n is odd
d n(n-2)/4 if n is even
a ((n-1)/2)^2 if n is even
b n(n-2)/4 if n is odd
c ((n-1)^2)/4 if n is odd
d n(n-2)/4 if n is even
@Torque024 said:Q) Number of ways in which 3 numbers in A.P. can be selected from 1, 2, 3,...... n is:a ((n-1)/2)^2 if n is evenb n(n-2)/4 if n is oddc ((n-1)^2)/4 if n is oddd n(n-2)/4 if n is even
c and d
@Torque024 said:Q) Number of ways in which 3 numbers in A.P. can be selected from 1, 2, 3,...... n is:a ((n-1)/2)^2 if n is evenb n(n-2)/4 if n is oddc ((n-1)^2)/4 if n is oddd n(n-2)/4 if n is even
c hai kya...options se kiya hai...
@Torque024 said:Q) Number of ways in which 3 numbers in A.P. can be selected from 1, 2, 3,...... n is:a ((n-1)/2)^2 if n is evenb n(n-2)/4 if n is oddc ((n-1)^2)/4 if n is oddd n(n-2)/4 if n is even
C n D ?
@rachit_28 said:@sujamait thanks isme matlab 0 apples waale automatically arrange ho gaye ...right ?
0 apples walo ka kuch lena dena hee nhn hai .they are out of picture.