# Permutations and Combinations Questions - Permutation and Combinations

16:

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

 A. 42100 B. 421200 C. 42400 D. 421600 Answer Report Discuss Option: B Explanation : n=26x 25x 9x 9x 8=421200. Click on Discuss to view users comments. Write your comments here:
17:

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

 A. 10 ! - 9 ! B. 10! - 2(9!) C. 9! D. none of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
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

 A. 13 B. 14 C. 12 D. 11 Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
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?

 A. 608000 B. 608200 C. 608400 D. 608600 Answer Report Discuss Option: C Explanation : Each letter can be printed in twenty-six different ways, the first digit in nine ways and each of the other two digits in ten ways. Hence 26 x 26 x 9 x 10 x 10 = 608400 different plates can be printed. Click on Discuss to view users comments. Write your comments here:
20:

Given  nPr =  3024

Value of n will be

 A. 3 B. 4 C. 6 D. 9 Answer Report Discuss Option: D Explanation : Sinnce is product of consecutive positive integers Hence npr = 3024 = 9 x 8 x 7 x 6 Hence,         n = 9 Click on Discuss to view users comments. Write your comments here: