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  • Question
  • A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ?


  • Options
  • A. 210
  • B. 168
  • C. 1260
  • D. 10!/6!

  • Correct Answer
  • 168 

    Explanation

    we can select the 5 member team out of the 8 in 8C5 ways = 56 ways.

    The captain can be selected from amongst the remaining 3 players in 3 ways.

    Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways.

     

    (or)

     

    Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways.

    Now, the captain can be selected from these 6 players in 6 ways.

    Therefore, total ways the selection can be made is 28x6 = 168 ways.

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

    More questions

    • 1. 
      The last day of century cannot be either
      I. Tuesday
      II. Thursday
      III. Saturday
      IV. Sunday

    • Options
    • A. I and II
    • B. I and IV
    • C. I, II and III
    • D. I,III and IV
    • Discuss
    • 2. 
      In a ?ABC, if 2?A = 3?B = 6?C, Then ?A is equal to:

    • Options
    • A. 60°
    • B. 30°
    • C. 90°
    • D. 120°
    • Discuss
    • 3. 
      How many times in a day (24 Hrs), are the hands of a clock in straight line but opposite in direction?

    • Options
    • A. 20
    • B. 22
    • C. 24
    • D. 48
    • Discuss
    • 4. 
      Which of the following two months in a particular year will have same calendar.

    • Options
    • A. January and August
    • B. January and October
    • C. March and November
    • D. None of these
    • Discuss
    • 5. 
      In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is?

    • Options
    • A. 13.2 cm
    • B. 19.8 cm
    • C. 21.6 cm
    • D. 26.4 cm
    • Discuss
    • 6. 
      If in a particular year 'X' there are 53 Sundays then how many Sundays will be there in a period of four years X to X + 3 year.

    • Options
    • A. 208
    • B. 209
    • C. 208 or 209
    • D. None of these
    • Discuss
    • 7. 
      In a game of 80 points, A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?

    • Options
    • A. 12
    • B. 10
    • C. 8
    • D. 6
    • Discuss
    • 8. From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

    • Options
    • A. 75 litres
    • B. 100 litres
    • C. 150 litres
    • D. 120 litres
    • Discuss
    • 9. If a - b = 3 and a2 + b2 = 29, find the value of ab.

    • Options
    • A. 10
    • B. 12
    • C. 15
    • D. 18
    • Discuss
    • 10. Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

    • Options
    • A. 1:9
    • B. 9:1
    • C. 3:7
    • D. 7:3
    • Discuss


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