### 10. The number of words from the letters of the word 'BHARAT' in which Band H will never come together, is

### 11. If a five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition, then total number of ways this can be done is

### 12. If sides AB, BC, CA of a triangle ABC have 3, 4 and 5 interior points respectively on them, then total number of triangles that can be constructed by using these points as vertices, is

### 13. A student can take one of four Mathematics sections and one of five English sections. The number n of ways he can register for the two courses, is

### 16. In the above problem, if the first digit cannot be 0, then

### 17. In how many ways can 10 people be seated in a row so that a given pair is not next to each other?

### 18. The number of ways to cut a six sided convex polygon whose vertices are labeled into four triangles using diagonal lines that do not cross is

### 19. Suppose a licence plate contains two letters followed by three digits with the first digit not zero. How many different licence plates can be printed?

### 20. Given n P r = 3024

### 21. In a factory for five jobs the members A, B, C, D, E are eligible.

### 22. In a factory for five jobs the member's A, B, C, D, E are eligible. All jobs can be filled in how many ways?

### 23. If 6 identical coins are arranged in a row, then number of arrangements in which 4 are heads and 2 are tails are

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