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  • Question
  • How many 4-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?


  • Options
  • A. 60
  • B. 48
  • C. 36
  • D. 20

  • Correct Answer
  • 60 

    Explanation

    Here given the required digit number is 4 digit.

    It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

    x x x 5

    The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

     

    Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

    Permutation and Combination problems


    Search Results


    • 1. In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end?

    • Options
    • A. 3360
    • B. 5040
    • C. 720
    • D. 1080
    • Discuss
    • 2. A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ?

    • Options
    • A. 600
    • B. 610
    • C. 609
    • D. 599
    • Discuss
    • 3. The number of permutations of the letters of the word 'MESMERISE' is ?

    • Options
    • A. 9!/(2!)^{2}x3!
    • B. 9! x 2! x 3!
    • C. 0
    • D. None
    • Discuss
    • 4. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

    • Options
    • A. ²²C?? + 1
    • B. ²²C? + ¹?C?
    • C. ²²C??
    • D. ²²C?? - 1
    • Discuss
    • 5. A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? A) 24 - 1 B) 2425-1 C) (24-1)(23-1)25 D) None

    • Options
    • A. A
    • B. B
    • C. C
    • D. D
    • Discuss
    • 6. From a pack of 52 cards, 3 cards are drawn together atrandom, What is the probability of both the cards are king?

    • Options
    • A. 1/5225
    • B. 1/5525
    • C. 5525
    • D. 1/525
    • Discuss
    • 7. In a G - 20 meeting there were total 20 people representing their own country. All the representative sat around a circular table. Find the number of ways in which we can arrange them around a circular table so that there is exactly one person between two representatives namely Manmohan and Musharraf.

    • Options
    • A. 2 x (17!)
    • B. 2 x (18!)
    • C. (3!) x (18!)
    • D. (17!)
    • Discuss
    • 8. Suppose you can travel from a place A to a place B by 3 buses, from place B to place C by 4 buses, from place C to place D by 2 buses and from place D to place E by 3 buses. In how many ways can you travel ?from A to E?

    • Options
    • A. 36
    • B. 64
    • C. 74
    • D. 72
    • Discuss
    • 9. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

    • Options
    • A. 11670
    • B. 12000
    • C. 11760
    • D. 20050
    • Discuss
    • 10. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

    • Options
    • A. 120960
    • B. 120000
    • C. 146700
    • D. None of these
    • Discuss


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