CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

nCr Definitions and Properties

From the sequ...

Question

From the sequence of the first 20 natural numbers, four are selected such that they are not all consecutive. The number of such selections is

A

284 \times 17

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

285 \times 17

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

284 \times 16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $284 \times 17$
Total no. of selection - (all are consecutive)
$^{20} C_{4} - (^{17} C_{1}) = 284 \times 17$

Suggest Corrections

thumbs-up

0

Similar questions

Q. From the sequence of the first

20

natural numbers, four are selected such that they are not as consecutive.
The number of such selections is:

Q. From a collection of

20

consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is

Q. Let A be the set of first 16 natural numbers. Then the number of ways of selecting 3 numbers from A such that they are all consecutive or none of them are consecutive is

Q. Four distinct numbers are selected from first 100 natural numbers such that each number is divisible by both 3 and 5. The number of selections possible is

Q. The number of ways in which four numbers can be selected from

1, 2, 3, \dots, 30

so that they are not consecutive is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Why Do We Need to Manage Our Resources?

MATHEMATICS

Watch in App

explore_more_icon

Explore more

nCr Definitions and Properties

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon