The number of positive integers less than 40,000 that can be formed by using all the digits 1, 2, 3, 4 and 5 is equal to

Question

The number of positive integers less than 40,000 that can be formed by using all the digits 1, 2, 3, 4 and 5 is equal to (A) 24 (B) 78 (C) 32 (D) 216

Tardigrade Admin · Accepted Answer

underset3 mathop square underset4 mathop square underset3 mathop square underset2 mathop square underset1 mathop square underset(ways text to text filling text the text box) mathop ∴ Required number of positive integer =3× 4× 3× 2× 1 =72

Q. The number of positive integers less than $40, 000$ that can be formed by using all the digits $1, 2, 3, 4$ and $5$ is equal to

24

78

32

216

72

$3 □ 4 □ 3 □ 2 □ 1 □ (w a ys t o f i ll in g t h e b o x)$
$∴$ Required number of positive integer
$= 3 \times 4 \times 3 \times 2 \times 1$
$= 72$

Q. The number of positive integers less than 40,000 that can be formed by using all the digits 1,2,3,4 and 5 is equal to

24

78

32

216

72

3□​4□​3□​2□​1□​(waystofillingthebox)​ ∴ Required number of positive integer =3×4×3×2×1 =72

Q. The number of positive integers less than $40, 000$ that can be formed by using all the digits $1, 2, 3, 4$ and $5$ is equal to

$3 □ 4 □ 3 □ 2 □ 1 □ (w a ys t o f i ll in g t h e b o x)$
$∴$ Required number of positive integer
$= 3 \times 4 \times 3 \times 2 \times 1$
$= 72$