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Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 7 TestUNIT 7: Permutations and Combinations

30 marks · 40 minutes · 21 questions. Covers: UNIT 7: Permutations and Combinations.

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1st Year Mathematics Chapter 7 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. nCn-r is equal to:

    1. rpn

    2. rCn

    3. npr

    4. nCr

  2. nCr+nCr-1=?

    1. nCr

    2. n+1Cr

    3. n+1Cr+1

    4. None

  3. In how many ways a cricket team of 11 players out 15 can be selected if the captain must include in each ways:

    1. 15!

    2. 14C10

    3. 15C11

    4. 11!

  4. If n is positive integer than factorial of n is denoted by ......:

    4. nI

  5.  is equal to:

    1. nCr

    2. nPr

    3. n+1Cr

    4. n-1Cr

  6. The expression  reduce to:

  7. 6!+0! is equal to:

    1. 719

    2. 720

    3. 721

    4. 722

  8.  is equal to:

    1. nCr

    2. nCr-1

    3. n+1Cr

    4. None of these

  9. Number of ways in which a necklace of 6 beads of different colors be made?

    1. 5!

    3. 6!

  10. 5 persons can be seated at a round table in how many ways?

    1. 23

    2. 24

    3. 25

    4. 26

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. If nPr = 120 and nCr=20, find r.

  2. In how many ways can 5 couples sit around a round table if no two women are sitting together?

  3. Write the following in factorial form: n(n-1)(n-2)...(n-r+1)

  4. Evaluate the following: 10p5

  5. How many 4 digit number can be formed, with distinct digits, with each digit odd?

  6. Find the number of possible arrangements of vowel letters from the English alphabet?

  7. How many arrangements of the letters of the following word, taken all together can be made? PROBABILITY

  8. How many arrangements of the letters of the following word, taken all together can be made? CURRICULUM

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Find the number of the diagonals of a 6-sided figure.

  2. The D.C.Os of 11 districts meet to discuss the law-and-order situation in their districts. In how many ways can they be seated at a round table, when two particular D.C.Os insist on sitting together?

  3. Prove from the first principle that: npr= n-1pr+r. n-1pr-1