Permutation and CombinationHard
Question
A gentleman invites a party of m + n (m ≠ n) friends to a dinner & places m at one table and n at another, the table being round. If the clockwise & anticlockwise arrangements are not to be distinguished and assuming sufficient space on both tables, then the number of ways in which he can arrange the guest is
Options
A.
B.
C.
D.none
Solution
First we select m friends for one table is m + nCm and select a table by 2C1 ways.
Now total number of arrangements is
2 (m + nCm) .
⇒ 2 .
= 2 .
Now total number of arrangements is
2 (m + nCm) .
⇒ 2 .
= 2 .
Create a free account to view solution
View Solution FreeMore Permutation and Combination Questions
A box contains 2 white balls, 3 black balls & 4 red balls. In how many ways can three balls be drawn from the box if atl...The number of ways in which 5 beads, chosen from 8 different beads be threaded on to a ring, is:...150 students take admission. They are to be put in three sections A, B,C of equal size. The number of ways in which this...A basket contain 4 oranges, 5 apples and 6 mangoes. In how many ways can a person make a selection of fruits, if atleast...The number of proper divisors of apbqcrds where a, b, c, d are primes & p, q, r, s ∈ N is -...