1. The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is
2. If repetition of the digits is allowed, then the number of even natural numbers having three digits is
3. Let Tn denote the number of triangles which can be formed using the vertices of a regular polygon on n sides. If T<sub>n+1</sub> - T<sub>n</sub> = 21, then n equals
4. How many ways are here to arrange the letters in the word GARDEN with the vowels in alphabetical order?
5. How many factors are 25 × 36 × 52 are perfect squares
6. A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is
7. Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is
8. In how many ways in which 8 students can be sated in a line is
9. The number of squares that can be formed on a chess board is
10. How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed