PE 1 - Permutation & Combination | Modern Math - Permutation & Combination
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In how many ways can 4 letters be selected from the letters of the word MISSISSIPPI?
- (a)
25
- (b)
20
- (c)
19
- (d)
21
- (e)
None of these
Solution
Discuss
ReportHow many arrangements can be made by taking 4 letters from the word in the previous question?
A 5-ringed number lock has 10 digits on each ring. How many attempts at the maximum would have to be made before getting the right number?
- (a)
105
- (b)
510
- (c)
105 - 1
- (d)
510 - 1
- (e)
8191
In how many ways can 8 similar rings be worn on 5 fingers of a hand?
The numbers at the extreme right and extreme left of a 6-digit telephone number with all different digits are 1 and 0 respectively. How many such telephone numbers are possible?
How many numbers greater than 24000 can be formed using the digits 7, 0, 9, 2 and 8 such that each digit is used exactly once?
- (a)
48
- (b)
72
- (c)
45
- (d)
90
- (e)
96
There are 10 pairs of socks of different colours. In how many ways can one choose socks of two different colours for both the legs?
Among all convex polygons with n sides, the maximum number of points of intersection of the diagonals inside the polygon is 330. The value of n is
20 cities in a district are divided into 4 zones with five cities per zone. The telephone department of the district intends to connect the cities with telephone lines such that every two cities in the same zone are connected with two direct lines and every two cities belonging to different zones are connected with one direct line. How many direct telephone lines are required?
There are certain number of students standing around a circle. Each possible pair of students not standing next to each other plays a kabaddi match in the middle of the circle for 2 minutes and 30 seconds. If the total time taken for all the matches is 135 minutes, then the number of students is equal to?