NDA Important Questions of Permutations And Combinations | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

From 6 programmers and 4 typists, an office wants to recruit 5 people. What is the number of ways this can be done so as to recruit at least one typist ?

  • 209

  • 210

  • 246

  • 242


2.

How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5 when repetition of digits is not allowed ?

  • 36

  • 30

  • 24

  • 12


3.

How many numbers between 100 and 1000 can beformed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed ?

  • 35

  • 53

  • 120

  • 60


4.

How many four-digit numbers divisible by 10 can be formed using 1, 5, 0, 6, 7 without repetition of digits ?

  • 24

  • 36

  • 44

  • 64


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5.

What is the number of triangles that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which lie on the same straight line ?

  • 185

  • 175

  • 115

  • 105


6.

What is C(n, r) + 2C(n, r - 1) + C(n, r - 2) equal to ?

  • Cn + 1, r

  • Cn - 1, r + 1

  • Cn, r + 1

  • Cn + 2, r


7.

There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to include 3 bowlers ?

  • C(17, 11)

  • C12, 8

  • C17, 5 × C5, 3

  • C5, 3 × C12, 8


8.

The value of C7, 0 + C7, 1 + C7, 1 + C7, 2 + ... + C7, 6 + C7, 7 is

  • 254

  • 255

  • 256

  • 257


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9.

The number of different words (eight-letter words) ending and beginning with a consonant which can bemade out of the letters of the word 'EQUATlON' is

  • 5200

  • 4320

  • 3000

  • 2160


10.

How many different permutations can be made out of the. letters of the word 'PERMUTATION' ?

  • 19958400

  • 19954800

  • 19952400

  • 39916800


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