PE 2 - Permutation & Combination | Modern Math - Permutation & Combination
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There are seven markers of different colours, each with a body and a cap. Colour of the cap and the body of the marker is the same. What is the total number of ways in which the caps can be put on the body of the markers such that colour of the cap and the body for at least 1 marker is same?
Solution
Discuss
ReportHow many 5-digit numbers have all its digits even?
- (a)
325
- (b)
450
- (c)
625
- (d)
1250
- (e)
2500
In how many ways can 4 books on quant, 3 books on reasoning and 2 on verbal, all by different publishers, be arranged on a shelf?
- (a)
336880
- (b)
462
- (c)
40620
- (d)
80640
- (e)
362880
There are 6 girls and 4 boys to be seated in a circle. In how many ways can they be seated if four particular girls always want to sit together?
- (a)
7!
- (b)
7! × 4!
- (c)
9! × 4!
- (d)
6! × 4!
- (e)
9!
In how many ways 6 friends can stay in four different rooms in a hotel such that all rooms are occupied.
The term independent of x in the expansion of is
- (a)
12C6
- (b)
12C3
- (c)
12C4
- (d)
12C5
In how many ways can 4 persons, out of 5 couples, be selected, such that there should be no pair (couple)?
- (a)
48
- (b)
72
- (c)
80
- (d)
90
Answer the next 3 questions based on the information given below.
India and England are playing a one-day cricket tournament, which contains 5 matches. There are 2 points for a win, 1 point for a draw and 0 point for loss. The team which scores more points wins the tournament.
If there is no draw, in how many different ways (i.e. by winning in different matches) can India win the tournament?
- (a)
16
- (b)
8
- (c)
10
- (d)
12
If exactly one match was drawn, in how many ways can India win the tournament?
- (a)
6
- (b)
10
- (c)
25
- (d)
30