Q31
Q31 In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?
23
24
64
56
Q32
Q32 How many distinct terms will be there in expansion of (a+b+c)^20 ?
190
210
231
253
Q33
Q33 How many times will the digit 3 appear when we write numbers from 1 to 1000 ?
200
300
299
301
Q34
Q34 Christine, on her morning run, wants to get from point A to point B.
(a)How many routes with no backtracking can she take?
(b) How many of those routes go through point D?
(5 + 7)!/ 5! · 7!,[(3 + 4)! / (3! · 4!)] · [(2 + 3)! (2! · 3!)]
(5 - 7)!/ 5! ·+7!,[(3 + 4)! / (3! · 4!)]·[(2 + 3)! (2! · 3!)]
(5 + 7)!/ 5! · 7!,[(3 + 4)! / (3! +4!)]·[(2 - 3)! (2! · 3!)]
(5 + 7)!/ 5! · 7!,[(3 + 4)! / (3! +4!)]·[(2 + 3)! (2! +3!)]
Q35
Q35 In how many ways 20 apples can be distributed among 3 people ?
190
210
231
253
Q36
Q36 There are 10 points in a plane, 4 of which are collinear. Find the number of triangles which can be formed?
100
120
116
96
