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manisha mehra Grade: 11
        

five letter words are to be formed of  letters of theword infinitesmial?what is their number

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear manisha


here letters are  4 i  , 2 n  ,  f , t , e, s , m, a, l


case 1:  alll 5 are distinct


     number if words = 9C5 5!


case 2:  2 same and 3 distinct


        number of words =2C1 * 8C3 * 5!/2!


case 3 :  2 alike of one kind + 2 laike of one kind + 1 distinct


 number of words  = 2C2 * 7C1 *5!/2! 2!


 


case 4: 3 alike of one kind + 2 alike of other kind


    number of words = 1 *1 *5!/3!2!


case 5 : 3 alike of one kind and 2 distict


  number of words = 1 * 8C2 * 5!/3!


 


so add all above u will get the desired result


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Badiuddin

7 years ago
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