IIT - JEE Main Important Questions of Permutations and Combinations | Zigya

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
1.

The number of integers greater than 6000 that can be formed, using the digits 3,5,6,7 and 8 without repetition, is

  • 216

  • 192

  • 120

  • 120

358 Views

2.

If m is the AMN of two distinct real numbers l and n (l,n>1) and G1, G2, and G3 are three geometric means between l and n, then straight G subscript 1 superscript 4 space plus 2 straight G subscript 2 superscript 4 space plus space straight G subscript 3 superscript 4 equals

  • 4l2 mn

  • 4lm2n

  • 4 lmn2

  • 4 lmn2

238 Views

3.

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

  • 8 . 6C4 . 7C4

  • 6 . 7 . 8C4

  • 6 . 8 . 7C4

  • 6 . 8 . 7C4

178 Views

4.

The set S: {1, 2, 3, …, 12} is to be partitioned into three sets A, B, C of equal size. Thus, A ∪ B ∪ C = S, A ∩ B = B ∩ C = A ∩ C = φ. The number of ways to partition S is-

  • 12!/3!(4!)3

  • 12!/3!(3!)4

  • 12!/(4!)3

  • 12!/(4!)3

181 Views

Advertisement
5.

The value  of straight C presuperscript 50 subscript 4 space plus sum from straight r space equals 1 to 6 of straight C presuperscript 56 minus straight r end presuperscript subscript 3 space is

  • straight C presuperscript 55 subscript 4
  • straight C presuperscript 55 subscript 3
  • straight C presuperscript 56 subscript 3
  • straight C presuperscript 56 subscript 3
181 Views

6.

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

  • 120

  • 480

  • 360

  • 360

186 Views

7.

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

  • 5

  • 8C3
  • 38

  • 38

190 Views

8.

The number of all numbers having 5 digits, with distinct digits is

  • 99999

  • 9 × P49

  • P510

  • P49


Advertisement
9.

The greatest integer which divides (p + 1) (p + 2) (p + 3) .... (p + q) for all p E N and fixed q  N is

  • p!

  • q!

  • p

  • q


10.

Let 1 +x + x29 = a0 +a1x +a2x2 +... + a18x18. Then,

  • a0 +a2 +... +a18 = a0 +a3 + ... + a17

  • a0 + a2 +... + a18 is even

  • a0 + a2 +... + a18 is divisible by 9

  • a0 + a2 +... + a18 is divisible by 3 but not by 9


Advertisement