This is developmentally normal behaviour. I say in a form voice no hitting or no biting and love them away. A 10 month old doesn’t understand that hitting and biting hurt.

Say no and put them on the floor.

This is quite common behaviour at that age as they can’t communicate / express themselves yet, it’s not a willful act. I think most importantly is to find out why your child is doing this, what happens just before she hits or bites. Their reaction is often a response to what happened prior to that; be pro active not reactive.
Use distraction to prefend escalation.
Make sure at all times you model good behaviour; smacking your child is not a good response indeed, how confusing would it be when you try to teach your child not to hit and you hit yourself ?
Show/model the social accepted behaviour. Tell for example that biting hurts and that a kiss feels better. Encourage your child to say sorry or make it right.

as hard (and annoying) as it sounds, try to stop it before it happens and don’t make a big deal of it. Just say i won’t let you bite and remove her from the person she is going to bite.
Also this is a developmental stage that many kids go through

It was interesting reading the comments on this!

I think consistency it key! Whatever seems effective (most) just keep it up,
Hope your doing well xx

Need to keep on eye so it couldn’t happen again.

Hope this has been resolved for you.

Hope you managed to find the answer you were looking for.

Have they stopped biting and hitting yet?

How is he going now?

I think they are both just phases I’m afraid.

Some good advice below – hope something has helped.

Keep up the discipline and hopefully they will have grown out of that stage soon enough.

I hope you found some answers

Thanks!! Wanted to know aswell, thanks for posting.

You can start the mat idea now by when she has had behaviour remove her from the situation tell her that’s naughty and walk away leave her cry for a while

I think its nice to apologise to the parents of the child as well. Tell them your child is going through a stage where she bites when shes frustrated. I hope it has improved for you

A stern ‘no’ and remove her from the situation. Make sure you keep a close eye on her when shes around other kids, you’ll learn to notice the signs that shes about to bite and will be able to stop her before she does damage. Be persistent.

Hope things have improved by now.A lot of useful tips from other mums