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12 Maths: Permutation and Combination

In a certain city there are n straight streets, such that every two streets intersect, and no three streets pass through the same intersection. The City Council wants to organize the city by design...


Committee of 4 men and 3 women is to be formed from among 6 men and 8 women. But miss A refuses to be a member if Mr. D is a member. Then the number of ways in which the committee can be formed is ...

( 6C4 * 8C3 ) - (5C3 * 7C2) = 630
Answer: Non of the above

If C(8,r) - C(7,3) = C(7,2) , then r = a. 3 b. 3 or 5c. 5 or 7 d. 7 


In how many ways can eight people be seated in a round table if two people insist in sitting next to each other? 


From 6 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least 3 ladies? 


4 couples are to be sited in straight line in how many way it can be done if1)No couples are sitting together

1. Which one of the following is the nth term of the series 1+(1+2)+(1+2+3)+.................

In a certain election, there are four candidates for president, six for secretary and only two for treasurer. In how many ways the election may turn out?

How many numbers of two different digits can be formed from the digits 1, 2, 3, 4 and 5? 

How many numbers of three different digits less than 500 can be formed from the integers 1, 2, 3,4,5,6? 

 How many even numbers of different digits can be formed using all the digits 2, 3, 4, 5, 6? 

5. How many numbers of three different digits less than 500 can be formed from the integers 1, 2, 3,4,5,6? 

How many number of 5 digits can be formed from the numbers 2, 0, 4, 3, 8 when repetition of digits is not allowed? 

10 buses run between Kathmandu and butwal. In how many ways a man travel from Kathmandu to butwal and return by different bus?

How many numbers of two digits can be formed from digits 1,2,3,4,5?

How many license plates of 4 different digits can be made from the integers 5,6,7,8,9?

In how many ways the letters of word "ALGEBRA" be arranged?

The value of P(n, n-1) is

In how many ways letter 3 can be posted in 4 letter boxes ?

In how many ways can 5 different coloured beads be strung on necklace?

The number of ways in which 6 different prizes can be distributed among 5 students is

In how many ways can 5 boys and 5 girls sit on a circle so that no two boys sit together 

The number of ways that 8 beads of different colours be string as a necklace is 

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