Gmate
Exam
Q. Find the number of selections that can be made taking 4 letters from the word "ENTRANCE".
Option
(A) 70
(B) 36
(C) 35
(D) 72
(E) 32
Read Solution (Total 2)
-
- ans : 36
two eenn- 1 psblty
two ee or nn 2*5c2=20
no repetition 6c4=15 - 10 years agoHelpfull: Yes(0) No(3)
- A. All letters are different, means that basically we are choosing 4 letters form 6 distinct letters: 6C4=15;
B. 2 N-s and other letters are different: 2C2(2 N-s out of 2)*5C2(other 2 letters from distinct 5 letters left)=10;
C. 2 E-s and other letters are different: 2C2(2 E-s out of 2)*5C2(other 2 letters from distinct 5 letters left)=10;;
D. 2 N-s, 2 E-s: 2C2*2C2=1.
15+10+10+1=36 - 4 years agoHelpfull: Yes(0) No(0)
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