CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Product Law

If 6! = 2p ...

Question

If 6! = $2^{p} 3^{q} 5^{r}$ , then P + q + r =

A

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

7

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 7
$6! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 = 720$
$2^{4} \times 3^{2} \times 5$
Given 6! = $2^{4} \times 3^{2} \times 5 = 2^{p} 3^{q} 5^{r}$
p = 4, q = 2 , r = 1
p + q + r = 4 + 2 + 1 = 7

Suggest Corrections

thumbs-up

0

Similar questions

Q. If P : Q : R = 6 : 5 : 4 and

P^{2} + Q^{2} + R^{2} = 192500

\frac{(P + Q - R)}{2}

Q. If P denotes

\div

, Q denotes x, R denotes +, S denotes - then 18 Q 12 P 4 R 5 S 6 = ?

^{'} P^{'}

^{'} d i v^{'},^{'} Q^{'}

^{'} \times^{'},^{'} R^{'}

^{'} +^{'}

^{'} S^{'}

^{'} -^{'}

18 Q 12 P 4 R 5 S 6 = ?

x and y

vary directly,
then find the value of

p, q and r

$x$	6	$p$	$q$	12
$y$	36	48	60	$r$

(P, Q, R)

= (P) (Q) (R)

(P, R) =

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Laws of Indices

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon