Number of ways in which 5 A’s and 6 B’s can be arranged in a row which reads the same backwards and forwards, is N then value of is |

Number of ways in which 5 A’s and 6 B’s can be arranged in a row which reads the same backwards and forwards, is N then value of is |

1 Answer - 5876 Votes

3537

A AAAA B BBBBB Since word reads the same backwards and forwards, the middle digit must beA M So that even number of A’s and B’s are available for arrangement about middle position M in the above figure Take AABBB on one side of M( place) and then their image about M in a unique way Number of ways N |