CRE 1 - Basics | Modern Math - Permutation & Combination
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In a class, there are 4 boys & 3 girls. In how many ways can a teacher chose a class representative?
Solution
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ReportIn a class, there are 4 boys & 3 girls. In how many ways can a teacher chose a boy representative & a girl representative for the class?
An amusement park has 4 green and 3 blue entry doors whereas 2 orange and 5 yellow exit doors. In how many ways can a person enter the amusement park?
An amusement park has 4 green and 3 blue entry doors whereas 2 orange and 5 yellow exit doors. In how many ways can a person exit the amusement park?
An amusement park has 4 green and 3 blue entry doors whereas 2 orange and 5 yellow exit doors. In how many ways can a person enter and exit the amusement park?
There are 2 different trains, 3 different flights & 5 different bus services to travel from Chennai to Bangalore. There are 5 different trains, 6 different flights & 7 different bus services to travel from Bangalore to Bhopal. In how many ways can a person travel from Chennai to Bhopal via Bangalore?
In how many ways can 6 people be seated in a row?
In how many ways can 4 people be seated on 6 chairs in a row?
In how many ways can 4 out of 6 people be seated on 4 chairs in a row?
In how many ways can 2 students be selected for a quiz out of 4 eligible candidates?
How many 3-digit numbers are there with distinct digits, each digit being odd?
How many 4-digit numbers can be made using the digits 0 to 7 without repetition?
In printing all the numbers from 100 to 1000, how many times will the digit 5 be printed?
- (a)
3980
- (b)
4000
- (c)
3700
- (d)
280
In how many ways can the first three prizes be distributed to the winners of a race with 12 participants? Assume that no two people finished in the same time.
- (a)
3!
- (b)
1320
- (c)
12!
- (d)
None of these
In how many ways can Javier invite at least 1 of his 10 friends to a party?
- (a)
10
- (b)
55
- (c)
1024
- (d)
1023
In a party of 10 people, every person met each other, shook their hands and exchanged visiting cards. Find the number of cards exchanged & handshakes in the party respectively.
- (a)
45, 90
- (b)
45, 45
- (c)
90, 45
- (d)
90, 90
In how many ways can a student answer each of the 5 multiple choice questions, each containing 4 answer options, at random? Assume that answering a question entails marking one of the 4 answer choices.
- (a)
45
- (b)
55
- (c)
54
- (d)
44
In how many ways can a student answer at least 1 out of 6 multiple choice questions, each containing 5 answer options, at random? Assume that answering a question entail marking one of the 5 answer choices.
- (a)
56 - 1
- (b)
66 - 1
- (c)
66
- (d)
None of these
Find the number of ways in which 5 boys & 5 girls can be seated in a row such that no two boys are seated together.