বিন্যাস বিষয়ক

The number of 5 letter words formed  using letters of word "CALCULUS" is  

কাজু বাদাম

The letters are CC LL UU AS

Taking 5 different words

No. of ways=5C5 All5selected×5!arrangement=120

Eg CLUAS

2 same, 3 different =3C11pair×4C33different×5!2!=720

Eg CC LUA

2 same 2 same 1 different=3C22pair×3C11different×5!2!2!=270

Eg CC UU L

or CC UU A

3 same is not possible

i.e., 3 or more same letters are not present.

⇒ Total words=120+720+270

=1110.

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