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11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

11th Standard

    Reg.No. :
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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

    (a)

    304\(\times\) 292

    (b)

    303\(\times\) 293

    (c)

    302\(\times\) 294

    (d)

    30\(\times\)295

  2. The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

    (a)

    \(\times\) 11 C7+10C8

    (b)

    11C7+10C8

    (c)

    12C8-10C6

    (d)

    10C6+2!

  3. The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is

    (a)

    52C5

    (b)

    48C5

    (c)

    52C5 + 48C5

    (d)

    52C5 - 48C5

  4. The number of 10 digit number that can be written by using the digits 2 and 3 is

    (a)

    10C2+9C2

    (b)

    210

    (c)

    210-2

    (d)

    10!

  5. The product of first n odd natural numbers equals

    (a)

    2nCn\(\times\)nPn

    (b)

    \({ \left( \frac { 1 }{ 2 } \right) }^{ n }\)2nCn\(\times\)nPn

    (c)

    \({ \left( \frac { 1 }{ 4 } \right) }^{ n }\times \)2nCn\(\times\)2nPn

    (d)

    nCn \(\times\)nPn

  6. The number of ways to average the letters of the word CHEESE are

    (a)

    120

    (b)

    240

    (c)

    720

    (d)

    6

  7. The product of r consecutive positive integers is divisible by

    (a)

    r!

    (b)

    r!+1

    (c)

    (r+1)

    (d)

    none of these

  8. If 7 points out of 12 are in the same straight line then the number of triangles formed is

    (a)

    35

    (b)

    21

    (c)

    220

    (d)

    185

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

    (a)

    216

    (b)

    192

    (c)

    120

    (d)

    72

  10. If nPt = 720 nCr, then the value of r =

    (a)

    6

    (b)

    5

    (c)

    4

    (d)

    7

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