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

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

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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

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