Question

The number of different words that can be formed from the letters of the word $\text{'SUCCESS'}$ in which the two $\text{C}$ are together but no two $\text{S}$ are together, is

Answer 1

Taking $\text{'CC'}$ as a single object.
$\text{\_U\_CC\_E\_}\to 3!$
$4$ vaccant places in which $3$ ${}^{\prime }{S}^{\prime }$ can be arranged by ${}^4{C}_3\times 1=4$ ways.
So, total number of words, $=3!\times 4=24$