Permutation Combination and Probability MCQs with Answers and Solutions for mathematics test and statistics preparation.
Permutation Combination and Probability MCQs
A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
A. 300
B. 450
C. 600
D. 750
A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
A. ⁹C₂
B. ³C₂
C. ¹⁶C₂
D. ¹²C₂
In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”
A. 25
B. 13
C. 40
D. 30
In how many ways can live boys and three girls sit in a row such that all boys sit together?
A. 4800
B. 5760
C. 2880
D. 15000
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
A. 4000
B. 2160
C. 4320
D. 5300
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A. 20
B. 54
C. 42
D. 60
The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is ____?
A. 24
B. 23
C. 119
D. 120
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 group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A. 300
B. 600
C. 750
D. 900
A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
A. 300
B. 450
C. 600
D. 750
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
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A. 63
B. 511
C. 1023
D. 15
