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201.

How many triangles can be formed with four points (A, B, C & D) in a plane? It is given that no three points are collinear. From the three points A, B and C, have only one triangle with these

Answer»

4



NA

202.

The Indian Cricket team consists of 16 players. It includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1 wicket keeper and atleast 4 bowlers

Answer»

1092



NA

203.

In how many different ways can 2 boys and 4 girls be arranged in a row such that all the boys stand together and all the girls stand together?

Answer»

96



NA

204.

How many arrangements can be made out of the letters of the word DRAUGHT, the vowels never beings separated?

Answer»

1440



NA

205.

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

Answer»

1260



NA

206.

A man has 9 friends, 4 boys and 5 girls. In how many ways can he invite them, if there have to be exactly 3 girls in the invitees ?

Answer»

160



NA

207.

In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:

Answer»

18



NA

208.

Find the value of 12p2, 9p1, 8p8?

Answer»

132,9,8!



NA

209.

From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee o

Answer»

91



NA

210.

There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man?

Answer»

60



NA

211.

How many different four letter words can be formed (the words need not be meaningful using the letters of the word "MEDITERRANEAN" such that the first letter is E and the last letter is R?

Answer»

59



NA

212.

How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?

Answer»

43200



NA

213.

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.

Answer»

576



NA

214.

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens can be chosen?

Answer»

180



NA

215.

A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

Answer»

246



NA

216.

How many 5-digit positive integers exist the sum of whose digits are odd?

Answer»

45000



NA

217.

A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selec

Answer»

672



NA

218.

A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

Answer»

108



NA

219.

I have an amount of Rs 10 lakh, which I went to invest in stocks of some companies. I always invest only amounts that are multiples of Rs 1 lakh in the stock of any company. If I can choose from among

Answer»

1001



NA

220.

For a group photograph, 3 boys and 4 girls stand in a line in all possible ways. How many photos could be taken if each photo corresponds to each such arrangement?

Answer»

5040



NA

221.

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

Answer»

840



NA

222.

In how many ways a committee, consisting of 5 men and a women can be formed form 8 men and 4 women?

Answer»

11760



NA

223.

How many 6 letter words can be formed with the letters of the word 'POLICY' such that the vowels occur only at even places.

Answer»

144



NA

224.

How many quadrilaterals can be formed by joining the vertices of an octagon?

Answer»

70



NA

225.

In a party every person shakes hand with every other person. If there was a total of 210 handshakes in the party, find the no. of persons who were present in the party.

Answer»

21



NA

226.

5 children are to be seated on one bench. In how many ways can it be done?

Answer»

120



NA

227.

How many numbers of five digits can be formed with the digits 1, 3, 5, 7 and 9, no digit being repeated?

Answer»

120



NA

228.

How many 4letter code can be formed using the first 9 letters of the English alphabets, if no letter can be repeated?

Answer»

3024



NA

229.

5 children are to be seated on a bench. In how many ways can it be done if the eldest child always sits in the middle?

Answer»

24



NA

230.

In a monthly test, the teacher decides that there will be there questions, one each from ex. 7, 8 and 9 of the text book. There are 12 questions in ex-7 , 18 in ex-8 and 9 in ex-9. In how many ways ca

Answer»

1944



NA

231.

2 Men and 1 women board a bus in which 5 seats are vacant, one of these 5 seats is reserved for ladies. A women may or may not sit on the seat reserved for ladies . In how many different ways can the

Answer»

36



NA

232.

Find the number of ways of preparing a chain with 5 different coloured beads ?

Answer»

12



NA

233.

139 person have signed for an elimination tournament. All players are to be paired up for the first round but because 139 is an odd number one player gets a bye, which promotes him to the second round

Answer»

138



NA

234.

If there are 12 persons in a party and each of them shakes hands with each other, how many handshakes do happen in the party?

Answer»

66



NA

235.

A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can t

Answer»

18! � 1440



NA

236.

Find the number of ways in which 8064 can be resolved as the product of two factors?

Answer»

24



NA

237.

How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?

Answer»

24



NA

238.

The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?

Answer»

242



NA

239.

10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from o

Answer»

7257600



NA

240.

How many even numbers of three digits can be formed with the digits 0, I, 2, 3, 4, 5 and 6?

Answer»

30



NA

241.

How many numbers of five digits can be formed with the digits 0, 1, 2, 3, 4, 6 and 8?

Answer»

2160



NA

242.

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

Answer»

20



NA

243.

Find the no.of ways in which a committee consisting of 3 Men and 2 Women can be formed from 5 Men and 4 Women?

Answer»

5c3 X 4c2



NA

244.

Find the number of ways in which 5 players out of 8 players can be selected to form a team.

Answer»

56



NA

245.

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

Answer»

1587600



NA

246.

In how many ways, can the letters of the word 'ASSASSINATION' be arranged, so that all the S are together ?

Answer»

151200



NA

247.

When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?

Answer»

42



NA

248.

A team of 16 cricketers is collected for the ODI series. It consists of 10 old players and 6 new players. As a principle it was decided that the team playing any of the matches must contain 8 players,

Answer»

900



NA

249.

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

Answer»

720



NA

250.

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is -.

Answer»

360



NA