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151.

How many triangles can be formed with 8 non-collinear points lying in a plane?

Answer»

56



NA

152.

In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position ?

Answer»

12



NA

153.

Boxes numbered 1, 2, 3, 4 and 5 are kept in a row and they are to be filled with either a red or a blue ball such that no two adjacent boxes can be filled with blue balls Then, how different arrangeme

Answer»

22



NA

154.

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

Answer»

 209



NA

155.

In how many ways 8 persons can sit around a round dining table in such a manner that all will not have the same neighbors in any two arrangement?

Answer»

2520



NA

156.

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Answer»

11760



NA

157.

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

Answer»

601



NA

158.

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

Answer»

126



NA

159.

In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?

Answer»

120960



NA

160.

In how many different ways , can the letters of the word 'VENTURE' be arranged?

Answer»

2520



NA

161.

How many different words can be formed with the letters of the word EQUATION without changing the relative order of the vowels and consonants?

Answer»

720



NA

162.

The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.

Answer»

1630



NA

163.

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?

Answer»

1440



NA

164.

There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?

Answer»

11760



NA

165.

How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?

Answer»

6 ways



NA

166.

There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:

Answer»

10 ways



NA

167.

There is a polygon of 12 sides . How many triangles can be drawn using the vertices of polygon ?

Answer»

220



NA

168.

How many words, can be formed from the letters of the word 'EXTRA' so that the vowels one never together?

Answer»

1365



NA

169.

In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?

Answer»

720



NA

170.

In how many different ways can the letters of the word 'TROUBLE' be arranged?

Answer»

5040



NA

171.

In how many ways can a group of 5 men and 2 women be made out of a total of7 men and 3 women?

Answer»

63



NA

172.

A child has four pockets and three marbles. In how many ways, the child can put the marbles in the pockets ?

Answer»

64



NA

173.

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

Answer»

69760



NA

174.

If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the word KUBER will be:

Answer»

67



NA

175.

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?

Answer»

600



N

176.

From a group of 7 men and 6 women, tive persons are to be selected to form a committee to that atleast 3 men are there on the committee. In how many ways can it be done?

Answer»

756



NA

177.

A, B , C , and D are four towns, any three of which are non-collinear. Then, the number of ways to construct three roads each joining a pair of towns, so that the roads do not form a triangle, is ?

Answer»

24



NA

178.

How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter ?

Answer»

12870



NA

179.

Find the value of 12c1?

Answer»

12



NA

180.

In how many ways can 4 boys and 5 girls be seated in a row so that they are alternate?

Answer»

2880



NA

181.

In how many difference ways can six players be arranged in a line such that two of them, Abhinav and Manjesh are never together ?

Answer»

360



NA

182.

Find the number of ways of arranging the host and 8 guests at a circular table, so that the host always sits in a particular seat ?

Answer»

8!



NA

183.

The number of different permutations of the word 'BANANA' is ?

Answer»

60



NA

184.

How many 3 – digit number can be formed from the digit 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

Answer»

20



NA

185.

Find the value of 6c2?

Answer»

15



NA

186.

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Answer»

50400



NA

187.

A department had 8 male and female employees each. A project team involving 3 male and 3 female members needs to be chosen from the department employees. How many different projects teams can be chose

Answer»

3136



NA

188.

In how many ways 6 different colored beads can be arranged in a necklace?

Answer»

 60



NA

189.

In how many different number of ways the letters of the word 'ENGINEERING' can be arranged. In how many different number of ways a combination of 3 persons can be selected from 4 men and 2 women.

Answer»

200



NA

190.

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys ?

Answer»

25



NA

191.

The numbers of straight lines can be formed out of 10 points of which 7 are collinear ?

Answer»

25



NA

192.

How many words can be formed with the letters of the word INTERNATIONAL?

Answer»

129729600



NA

193.

In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

Answer»

500



NA

194.

A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?

Answer»

24



NA

195.

How many numbers of five digits can be formed with the digits 0, 2, 4, 6 and 8?

Answer»

96



NA

196.

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

Answer»

5040



NA

197.

Find the value of 8c0

Answer»

1



NA

198.

In how many ways a committee of 5 members can be selected from 6 men and 5 ladies lowering of 3 men and 2 ladies?

Answer»

200



NA

199.

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

Answer»

56



NA

200.

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

Answer»

 720



NA