RankLab
Back to Questions
MathsMediumMCQ2015 ยท 04 Apr

Q63.The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8 , without repetition is (1) 72 (2) 216 (3) 192 (4) 120

What This Question Tests

This question requires calculating the number of integers greater than 6000 by considering cases for 4-digit and 5-digit numbers using the given digits without repetition.

Concepts Tested

PermutationsCounting principlesNumber formation with repetition restrictions

Formulas Used

nPr = n! / (n-r)!

Fundamental Principle of Counting

๐Ÿ“š NCERT Sections This Tests

5.12 โ€” Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of

Chemistry Class 11 ยท Chapter 5

71% match

5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?

12.5 โ€” A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,

Physics Class 12 ยท Chapter 12

71% match

12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.

1.3 โ€” Define The Following Terms:

Chemistry Class 11 ยท Chapter 1

71% match

1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.

๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Formation of numbers
Year
2015
Shift
04 Apr
Q Number
Q63
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

More from this Chapter

Q85.The set S = {1, 2, 3, โ€ฆ , 12) is to be partitioned into three sets A, B, C of equal size. Thus, A โˆชB โˆชC = S, A โˆฉB = B โˆฉC = A โˆฉC = ฯ• . The number of ways to partition S is (1) 12! (2) 12! 3!(4!)3 3!(3!)4 (3) 12! (4) 12! (4!)3 (3!)4

2007
Medium

Q74.In a shop there are five types of ice-creams available. A child buys six ice-creams. Statement -1: The number of different ways the child can buy the six ice-creams is 10C5 . Statement โˆ’2 : The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A's and 4 B's in a row. (1) Statement โˆ’1 is false, Statement โˆ’2 is true (2) Statement โˆ’1 is true, Statement โˆ’2 is true, Statement โˆ’2 is a correct explanation for Statement โˆ’1 (3) Statement โˆ’1 is true, Statement โˆ’2 is true; (4) Statement โˆ’1 is true, Statement โˆ’2 is false. Statement โˆ’2 is not a correct explanation for Statement โˆ’1.

2008
Medium

Q75.How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (1) 8 โ‹…6C4 โ‹…7C4 (2) 6.8 โ‹…7C4 (3) 6 โ‹…7 โ‹…8C4 (4) 7 โ‹…6C4 โ‹…8C4

2008
Hard

Q63.From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then the number of such arrangements is (1) less than 500 (2) at least 500 but less than 750 (3) at least 750 but less than 1000 (4) at least 1000

2009
Medium
More Mathematics questions