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ELEVEN ANIMALS OF A CIRCUS HAVE TO BE PLACED IN ELEVEN CAGES ONE IN EACH CAGE.IF 4 OF THE CAGES ARE TOO SMALL FOR 6 OF THE ANIMALS ,THEN THE NUMBER OF WAYS OF CAGING THE ANIMALS ARE: a)304800 b)504800 c)604800 d)NONE OF THESE ELEVEN ANIMALS OF A CIRCUS HAVE TO BE PLACED IN ELEVEN CAGES ONE IN EACH CAGE.IF 4 OF THE CAGES ARE TOO SMALL FOR 6 OF THE ANIMALS ,THEN THE NUMBER OF WAYS OF CAGING THE ANIMALS ARE:a)304800 b)504800 c)604800 d)NONE OF THESE
Five smaller animals can fit in the four cagesso number of ways of choosing = 5C4now number of permutations = 5C4*4!now the remaining seven cages have to be filled with seven animalsso number of permutations = 7C7*7!so total = 5C4*4!*7C7*7! = 604800ThanksBharat BajajIIT Delhiaskiitians faculty
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