How many 3 digit numbers can be formed from the digits 5, 6, 7, 8 and 9 if no repetition is allowed
|
$\begingroup$ Show Given the numbers $1$, $5$, $7$, $8$, and $9$, how many $3$-digit numbers larger than $700$ can be formed if repetition is not allowed? The answer is $36$. I want a detailed explanation please of how we get this answer?
asked Apr 15, 2017 at 13:53
$\endgroup$ 0 $\begingroup$ Let your number be $ABC$, Example: Let $A$=7. Thus $B$ is left with {1,5,8,9}. answered Apr 15, 2017 at 13:56
The Dead LegendThe Dead Legend 4,6871 gold badge15 silver badges36 bronze badges $\endgroup$ 1 Home How many numbers of 3 digits can be formed with the digits 5,6,7,8,9 repetition of the digits not allowed? Question A 30 No worries! We‘ve got your back. Try BYJU‘S free classes today! B 60 Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses C 120 No worries! We‘ve got your back. Try BYJU‘S free classes today! D 240 No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution The correct option is B 60=5×4×3=60Suggest Corrections 1 Similar questions Q. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that (i) repetition of the digits is allowed? (ii) repetition of the digits is not allowed? How many three digit numbers can be formed by using the digits 1 7 8 9 repetition is allowed?Hence, the required number of numbers =504. Q.
How many 3∴ Required number of numbers = (1 x 5 x 4) = 20.
How many three digit numbers can be formed by using the digits 2 5 6 8 and 0 repetition of digits is not allowed?Answer: 60. Let 3-digit number be XYZ.
How many 3 digits can be formed?So the number of digits available for B = 4 (As one digit has already been chosen at A), Similarly, the number of digits available for C = 3. Thus, The total number of 3-digit numbers that can be formed = 5 × 4 × 3 = 60.
|
