Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Number of arrangements of the letters abcd in which neither ab nor cd come together.

Number of arrangements of the letters abcd in which neither ab nor cd come together.

Grade:11

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
2 years ago
Take AB as one unit and CD as one unit.
These can be arranged 2! factorial ways. Internally each can be arranged in 2!
Total ways 2x2x2=8 -(1)
Now count AB as once unit. Total ways of arranging is . 3!2 =12 -(2)
Similary count CD as one unit. Total ways of arranging is 3!x2=12 -(3)
Total ways for AB or CD together= 2+3- =16
Total ways for AB or CD not together = 4!-16=8

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free