A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?

A. 4
B. 12
C. 18
D. None of these

Explanation:

Total number of ways = 2C1 . 5C2 = 2 x 5!/3!2! = 2 x 10 = 210

Related Mcqs:

In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?
A. 750
B. 500
C. 250
D. 125
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
A. (6!)²
B. 6! * ⁷P₆
C. 2(6!)
D. 6! * 7
A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
A. 20
B. 40
C. 512
D. 1024
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
A. Rs.500
B. Rs.250
C. Rs.5012.50
D. Rs.5062.50
E. None of these.
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :_________?
A. 10%
B. 10.25%
C. 10.50%
D. None of these
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is_____________?
A. 11.0
B. 11.3
C. 11.4
D. 11.5
Updated by: Ali Asghar
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
A. 46
B. 56
C. 34
D. 57
Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?
A. 7:6:10
B. 12:15:16
C. 42:45:56
D. Cannot be determined
E. None of these
Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?
A. 36
B. 81
C. 91
D. 116
A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________?
A. 5
B. 6
C. 7
D. 18