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The number of ways of arranging "11" obj...

The number of ways of arranging "11" objects "A,B,C,D,E,F,`alpha,alpha,alpha,beta,beta` so that every `beta` lies between two `alpha` (not necessarily adjacent) is `K times 6!times^(11)C_(5)` ,then "K" is (For e.g.here the arrangement "`A alpha B alpha C beta E beta alpha FD` is valid but "`A alpha B alpha C beta E alpha F beta D"` is not "

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