Permutation Combination and Probability MCQs with Answers and Solutions for mathematics test 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

**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