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## Quant Quiz On Permutation & Combination Day 24 Bag

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

a) 12

b) 16

c) 20

d) 24

e) None of these**In how many different ways can the letter of the word ELEPHANT be arranged so that vowels always occur together?**

a) 2060

b) 2160

c) 2260

d) 2360

e) None of these**There are 4 bananas, 7 apples and 6 mangoes in a fruit basket. In how many ways can a person make a selection of fruits from the basket.**

a) 269

b) 280

c) 279

d) 256

e) None of these**There are 15 points in a plane out of which 6 are collinear. Find the number of lines that can be formed from 15 points.**

a) 105

b) 90

c) 91

d) 95

e) None of these**In how many ways 4 Indians, 5 Africans and 7 Japanese be seated in a row so that all person of same nationality sits together**

a) 4! 5! 7! 3!

b) 4! 5! 7! 5!

c) 4! 6! 7! 3!

d) can’t be determined

e) None of these**In how many ways 5 Americans and 5 Indians be seated along a circular table, so that they are seated in alternative positions**

a) 5! 5!

b) 6! 4!

c) 4! 5!

d) 4! 4!

e) None of these**4 matches are to be played in a chess tournament. In how many ways can result be decided?**

a) 27

b) 9

c) 81

d) 243

e) None of these

**Q(8 –9)** There are 6 players in a cricket which is to be sent to Australian tour. The total number of members is 12.

**If 2 particular member is always included**

a) 210

b) 270

c) 310

d) 420

e) None of these**If 3 particular player is always excluded**

a) 76

b) 82

c) 84

d) 88

e) None of these**In a group of 6 boys and 5 girls, 5 students have to be selected. In how many ways it can be done so that at least 2 boys are included**

a) 1524

b) 1526

c) 1540

d) 1560

e) None of these

**How many words of 4 letters with or without meaning be made from the letters of the word ‘NUMBER’, when repetition of letters is not allowed?**

A) 480

B) 360

C) 240

D) 360

E) 24**In how many ways the letters of the word ‘ALLIGATION’ be arranged taking all the letters?**

A) 120280

B) 453600

C) 360340

D) 3628800

E) None of these**In how many ways all the letters of the word ‘MINIMUM’ be arranged such that all vowels are together?**

A) 60

B) 30

C) 90

D) 70

E) 120**In how many ways a group of 4 men and 3 women be made out of a total of 8 men and 5 women?**

A) 720

B) 140

C) 120

D) 360

E) 210**How many 3 digit numbers are divisible by 4?**

A) 256

B) 225

C) 198

D) 252

E) 120**How many 3 digits numbers have exactly one digit 2 in the number?**

A) 225

B) 240

C) 120

D) 160

E) 185**There are 8 men and 7 women. In how many ways a group of 5 people can be made such that the particular woman is always to be included?**

A) 860

B) 1262

C) 1001

D) 1768

E) 984**There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular man is always to be excluded?**

A) 280

B) 420

C) 220

D) 495

E) 460**How many 4 digit words can be made from the digits 7, 8, 5, 0, and 4 without repetition?**

A) 70

B) 96

C) 84

D) 48

E) 102**In how many ways 8 students can be given 3 prizes such that no student receives more than 1 prize?**

A) 348

B) 284

C) 224

D) 336

E) None of these

**In how many ways can 3 prizes be given away to 12 students when each student is eligible for all the prizes ?**

A.1234

B.1728

C.5314

D.1331

E.None of these**Total no of ways in which 30 sweets can be distributed among 6 persons ?**

A.35 C_{5}

B.36 C_{5}

C.36 C_{6}

D.35!/5!

E.None of these**A bag contains 4 red balls and 5 black balls. In how many ways can i make a selection so as to take atleast 1 red ball and 1 black ball ?**

A.564

B.345

C.465

D.240

E.None of these**In how many ways can 7 beads be strung into necklace ?**

A.2520

B.5040

C.720

D.360

E.None of these**Find the no of 3 digit numbers such that atleast one of the digit is 6 (with repetitions) ?**

A.252

B.345

C.648

D.560

E.None of these**In how many ways can 7 girls and 4 boys stand in a row so that no 2 boys are together ?**

A.8467200

B.9062700

C.7407000

D.8407200

E.None of these**In how many ways the letters of the word PERMUTATION be arranged ?**

A.10!/2!

B.10!

C.11!

D.11!/2!

E.None of these**How many numbers can be formed with the digits 1, 7, 2, 5 without repetition ?**

A.89

B.56

C.64

D.72

E.None of these