# Permutations and Combinations Questions - Permutation and Combinations

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

 A. 216 B. 240 C. 600 D. 3125 Option: A Explanation :
12:

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

 A. 220 B. 204 C. 205 D. 195 Option: C Explanation :
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

 A. 4 B. 5 C. 20 D. 30 Option: C Explanation : There are four choices for Mathematics and five choices for English. n= 4 x 5= 20
14:

There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated is

 A. 102 B. 1023 C. 210 D. 10! Option: B Explanation :
15:

The number of ways in which 10 persons can sit around a circular table so that none of them has ~he same neighbours in any two aITangem~nts, is

 A. 9! B. C. 10! D. Option: B Explanation :