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How many vehicle registration plate numbers can be formd with digits 1,2,3,4,5 (no digit being repeated)if it's given that registration number can have 1 to 5 digits ?
Read Solution (Total 16)
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- Since there is no repetation allowed
Trerefore ,
Registration no. with one digit=5p1
Registration no. with two digits=5p2
Registration no. with three digits=5p3
Registration no. with four digits=5p4
Registration no. with five digits=5p5
No. of vehicles=5p1+5p2+5p3+5p4+5p5.
=5+20+60+120+120
=325. - 11 years agoHelpfull: Yes(27) No(2)
- number palate with one digit=5
,,,,,,,,,,,,,,,, two,,,,,=5*4=20
,, ,, ,, ,, ,, three,,=5*4*3=60
,, ,,, ,,, four ,,,,=5*4*3*2=120
,, ,,, ,, five ,,=5*4*3*2*1=120
so total number of such number plat=325 - 11 years agoHelpfull: Yes(15) No(0)
- 5+20+60+120+120=325
- 11 years agoHelpfull: Yes(4) No(0)
- for 5 digits=5!
for 4 digits=5*4*3*2*1
for 3 digits=5*4*3
for 2 digits=5*4
for 1 digits=1
total=120+120+60+20+5=325 - 11 years agoHelpfull: Yes(2) No(0)
- registration no containing 1 digit=5
registration no containing 2 digit=5*4=20(repeatation not allowed)
registration no containg 3 digit =5*4*3=60
registraion no containing 4 digit=5*4*3*2=120
registraion no containing 5 digit=5*4*3*2*1=120
total possible reg no=5+20+60+120+120=325
- 11 years agoHelpfull: Yes(2) No(0)
- 5!=1*2*3*4*5=120
- 11 years agoHelpfull: Yes(1) No(14)
- sorry my prev. sol. is wrong.
number palate with one digit=5
,,,,,,,,,,,,,,,, two,,,,,=5*4=20
,, ,, ,, ,, ,, three,,=5*4*3=60
,, ,,, ,,, four ,,,,=5*4*3*2=120
,, ,,, ,, five ,,=5*4*3*2*1=120
so total number of such number plat=325 - 11 years agoHelpfull: Yes(1) No(0)
- single digit no=5
2 digit no=5*4=20
3 digit no=5*4*3=60
4 digit no=5*4*3*2=120
5 digit no=5*4*3*2*1=120
total ways=5+20+60+120+120=325 - 11 years agoHelpfull: Yes(1) No(0)
- 325 =ans,
- 11 years agoHelpfull: Yes(1) No(0)
- 5!+4!+3!+2!+1!=153
- 11 years agoHelpfull: Yes(0) No(4)
- 5p1+5p2+5p3+5p4+5p5=325
- 11 years agoHelpfull: Yes(0) No(1)
- 325
- 11 years agoHelpfull: Yes(0) No(0)
- sorryyy!!! it will be 12
- 11 years agoHelpfull: Yes(0) No(1)
- answr is 360
- 11 years agoHelpfull: Yes(0) No(0)
- Total 325 digits...I Think ???
- 11 years agoHelpfull: Yes(0) No(1)
- Total digits available is 1,2,3,4,5
5 digit no plate is formed in 5P5 ways.
4 digit no plate is formed in 5P4 ways.
3 digit no plate is 5P3 ways
2 digit no plate in 5P2 ways
1 digit no plate in 5P1 ways
total adding all dis we get 325 ways!! - 11 years agoHelpfull: Yes(0) No(0)
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