The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seats is
A.
1440
B.
720
C.
5040
D.
None of these
Answer :
1440
Solution :
A couple and $$6$$ guests can be arranged in $$(7 - 1) !$$ ways. But the two people forming the couple can be arranged among themselves in $$2 !$$ ways.
∴ the required number of ways $$ = 6!\, \times 2!.$$
Releted MCQ Question on Algebra >> Permutation and Combination
Releted Question 1
$$^n{C_{r - 1}} = 36,{\,^n}{C_r} = 84$$ and $$^n{C_{r + 1}} = 126,$$ then $$r$$ is:
Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated are
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