Grade 11Magical Mathematics[Interesting Approach]Find the total no. of ways of selecting five letters of the word INDEPENDENT . Vaibhav 12 Years agoGrade 11
shubham sharma12 Years agoAns. is 72!! All letters are nt same so There are 5 cases • of form(abcde) all distinct = 6 ways • of form (aaabb)= 4 ways •of form( aaabc)= 5c2 +5c2= 20 ways •of form (aabcd)= 3.5c3 = 30ways •of form (aabbc) =3.4c1= 12ways Adding these 72!!!
vamsi12 Years agoin given word 11 letters are present.in all of them 3-N,2-D,2-E are present. so required answer is =(11!)÷(3!×2!×2!) =1663200