In how many ways can a selection be made of letters out of 5As, 4Bs, 3Cs, 2Ds and 1Es ?

1) 70
2) 71
3) 3003
4) none of these

• Number of ways of selecting 5 different letters:
  =5C5=1 way
  
  Number of ways to select 2 similar and 3 different letter:
  =4C1×4C3=16
  
  Number of ways of selecting 2 similar + 2 more similar letter and 1 different letter:
  =4C2×3C1=18
  
  Number of ways to select 3 similar and 2 different letter:
  =3C1×4C2=18
  
  Number of ways to select 3 similar and another 2 other similar:
  =3C1×3C1=9
  
  Number of ways to select 4 similar and 1 different letter:
  =2C1×4C1=8
  
  ways of selecting 5 similar letters:
  =1
  
  total ways: =1+16+18+18+9+8+1=71
• 10 years agoHelpfull: Yes(0) No(0)