a joint family in a town has a grandmother five children and two grandchildren. in how many ways can the seating arrangement be made such that the grandchildren occupy both the seats at the end and the grandmother sits with her children on either side of her?
Answers
Answer:
answer is 960
Step-by-step explanation:
step 1 : since , it is given in the question that grand children occupy both the seats at the end . so , number of ways in which granchidren can sit = 2!
step 2 : since there are 5 chidrens so the number of ways in which they can st is = 5!
step 3 : since it is given in the question that grandmother sits with her children on either side of her . so the number of ways in which she can sit is = 4 . ( beause she cant sit in 2nd , 7th position sinnce 1st and 8th positons are occupied by her grand children )
so multiplying 2! * 5! *4
will give 960 i.e the total number of arrangements
Answer:
Step-by-step explanation:
given: there is one grandmother
she have five children and two grandchildren.
it is given in the question that grand children occupy both the seats at the end . so , number of ways in which grandchildren can sit = 2 factorial
since there are 5 children so the number of ways in which they can seat is = 5factorial
it is given in the question that grandmother sits with her children on either side of her . so the number of ways in which she can sit is = 4 . ( because she cant sit in 2nd , 7th position since 1st and 8th positions are occupied by her grand children )
so multiplying 2! x 5! x4
will give 960 i.e. the total number of arrangements.
Hence, 960 are total number of arrangements.