Home
Class 12
MATHS
The are 8 events that can be schedules i...

The are `8` events that can be schedules in a week, then
The total number of ways that these `8` event are scheduled on exactly `6` days of a week is

A

`210xx6!`

B

`7!xx266`

C

`56xx7!`

D

`210xx7!`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `1+1+1+1+1+3=8`
`1+1+1+1+2+2=8`
Total number of ways `=[(8!)/(3!(1!)^(5)5!)+(8!)/((1!)^(4)(2!)^(2)2!4!)]xx7!`
`=266xx7!`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Question Bank|4 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Multiple Correct Answer|2 Videos

  • PARABOLA

    CENGAGE|Exercise Question Bank|9 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE|Exercise Exercise|9 Videos

Similar Questions

Explore conceptually related problems

The are 8 events that can be schedules in a week, then The total number of ways in which the events can be scheduled is

The are 8 events that can be schedules in a week, then The total number of ways that the schedule has at least one event in each days of the week is

Find number of ways that 8 beads of different colors be strung as a necklace.

The total number of ways of selecting a team of 3 men and 4 women from 5 men and 6 women is

There are 8 points in a plane, no three of them are collinear .The number of triangles that can be formed is:

To fill 12 vacancies there are 25 candidates of which 5 are from scheduled caste. If three of the vacancies are reserved for scheduled caste candidates while the rest are open to all; the number of ways in which the selection can be made is a. 5C_3xx^(22)C_9 b. 22 C_9-^5C_3 c. 22 C_3+^5C_3 d. none of these

The number of ways in which 21 objects can be grouped into three groups 8, 7 and 6 object is

Find the total number of way in which n distinct objects can be put into two different boxes