A. 20
B. 54
C. 42
D. 60
Explanation:
There are three ladies and five gentlemen and a committee of 5 members to be formed.
Number of ways such that two ladies are always included in the committee = ⁶C₃ = (6 * 5 * 4)/6 = 20.
Related Mcqs:
- 2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
A. 15
B. 36
C. 48
D. 60 - In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?
A. 10080
B. 4989600
C. 120960
D. None of these - In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
A. 120
B. 720
C. 4320
D. 2160 - What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
A. 100
B. 60
C. 30
D. 20 - A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is_________?
A. 11 hrs
B. 8 hrs 45 min
C. 7 hrs 45 min
D. 9 hts 20 min - If six persons sit in a row, then the probability that three particular persons are always together is____________?
A. 1/20
B. 3/10
C. 1/5
D. 4/5 - A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?
A. 160m × 27m
B. 240m × 18m
C. 120m × 36m
D. 135m × 32m - Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?
A. 720
B. 1440
C. 1860
D. 2160 - A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?
A. 11
B. 30
C. 14
D. 20 - In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A. 400
B. 500
C. 600
D. 20
