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Test:- Permutations And Combinations - 1 - Mathematics MCQ


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20 Questions MCQ Test Topic-wise Tests & Solved Examples for Mathematics - Test:- Permutations And Combinations - 1

Test:- Permutations And Combinations - 1 for Mathematics 2024 is part of Topic-wise Tests & Solved Examples for Mathematics preparation. The Test:- Permutations And Combinations - 1 questions and answers have been prepared according to the Mathematics exam syllabus.The Test:- Permutations And Combinations - 1 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test:- Permutations And Combinations - 1 below.
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Test:- Permutations And Combinations - 1 - Question 1

There are 3 candidate for a Mathematics, 5 for chemistry and 4 for a Physics scholarship. In how many ways can the scholarship be awarded.

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 1

There are 3 candidates of math.
There arc 5 candidates of chemistry.
There arc 4 candidates of physics,
so total way = 3 * 4 * 5 = 60

Test:- Permutations And Combinations - 1 - Question 2

How many three-digits number can be formed without using the digits 0,1,2,3,7,9,?

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 2

remaining digits are 4,5,6,8
so method are 43 = 64

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Test:- Permutations And Combinations - 1 - Question 3

How many numbers are there between 1000 and 2000 such that even' digit is either 0, or 1, or 2?

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 3

No. between 1000 and 2000 [0, 1,2]
1 3C1, 3C2, 3C1' = 27- 1 -26

Test:- Permutations And Combinations - 1 - Question 4

How many numbers are there between 2000 and 20000 such that 2 is in the unit place.

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 4

Test:- Permutations And Combinations - 1 - Question 5

How many number are there between 100 and 1000 such that at least one of their digit is 3?

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 5


Test:- Permutations And Combinations - 1 - Question 6

From 7 English and 4 American a committee of 6 is to be formed which contains at least two American. The number of ways in which this committee can be formed is :

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 6

Test:- Permutations And Combinations - 1 - Question 7

The number of ways in which an arrangement of 4 letters of the word ‘PROPORTION’ can be made is :

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 7

Test:- Permutations And Combinations - 1 - Question 8

Total number of positive integral solution of x + y + z = 24 is :

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 8

Test:- Permutations And Combinations - 1 - Question 9

Total number of non-negative integral solution of
x + y + z + I = 15

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 9

Test:- Permutations And Combinations - 1 - Question 10

The number of ways in which 15 coins, not distinguishable from one another may be divided among 4 person, so that no one may have less than three coins is :

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 10

Test:- Permutations And Combinations - 1 - Question 11

Total number of integral solution of the equation
x1 + x2 + x3 = 15, where x1 ≥1, x2 ≥ 3, x3 ≥ 0 is :

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 11

Test:- Permutations And Combinations - 1 - Question 12

How many integral solution are there to the system of equation x1 + x2 + x3+ x4 + x5 = 20 and x1 + x2 + x3 = 5, where xk ≥ 0;

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 12

Test:- Permutations And Combinations - 1 - Question 13

The number of non-negative integral solution of
x1 + x2 + x3 + 3x4 = 18 is

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 13

Test:- Permutations And Combinations - 1 - Question 14

The number of ways in which thirty-five apples can be distributed among 3 boys, so that each car. have any number of apple is :

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 14

Test:- Permutations And Combinations - 1 - Question 15

Number of ways in which Rs. 22 can be distributed among four persons such that a first-person get less than Rs. 3 and second person gets multiple of Rs. 4 is:

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 15

Rs. 22 is distributed among 4 person

Test:- Permutations And Combinations - 1 - Question 16

The total number of four digit numbers formed from the digit 0,3,4,5,6,9 such that even digits are placed on even place is - (Any digit will not be repeated)

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 16

 0,3,4,5,6,9 solution for 4 digit number where even plane have even digit
3 3 2 2 = 36 ways

Test:- Permutations And Combinations - 1 - Question 17

How many four digit numbers which are divisible by 4 can be formed from the digit 1,2,3,4 and 5? (Any digit may be repeated)

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 17

If first place will be filled by 0,4,8 then before that we write even thing and if last place will be filled by 2,6 then odd number.
so, two cases are there

so total way = 50 + 75 = 125

Test:- Permutations And Combinations - 1 - Question 18

Six person entered the lift cabin on ground floor of an 7-floor house. Suppose each of them can leave the cabin independently at any floor beginning with the first. The total number of ways in which each of the six person can leave the cabin at any one of the 6-floors.

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 18

The total number of ways will be 66

Test:- Permutations And Combinations - 1 - Question 19

. How many numbers are there between 1000 and 4000 which have exactly one of their digit as 3?

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 19

When we fill first place with 3, then

so between 1000 and 4000 1215 number contain 3.

Test:- Permutations And Combinations - 1 - Question 20

How many numbers are there between 400 and 1000 such that atleast one of their digit 3?

Detailed Solution for Test:- Permutations And Combinations - 1 - Question 20

It will be such 3 digit numbers starting with 4 onwards

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