wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the total number of ways of selecting five letters from the letters of the word INDEPENDENT.

A
36
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
48
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
72
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
84
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 72
The word INDEPENDENT has 2Ds,3Es,3Ns and I,P,T
Hence the 5 numbers can be selected as follows:
3 alike ,2 different =(21)×(52)=20
3 alike ,2 other alike=(21)×(21)=4
2 alike ,3 different=(31)×(53)=30
2 alike ,2 other alike and 1 different=(32)×(41)=12
All different =(65)=6
Therefore, total no. of ways of selection =(20+4+30+12+6)=72
Hence, option 'C' is correct.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Energy From the Sea
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon