Sen. Ted Cruz might have tapped Carly Fiorina as his running mate this week, but Indiana voters will still have an opportunity Tuesday to vote for Mrs. Fiorina for president.

The Indiana election division of the secretary of state’s office confirmed Thursday that the names of nine presidential candidates appear on the Republican primary ballot, which also has been used for early voting.

The candidates, who are listed in alphabetical order by last name, are former Florida Gov. Jeb Bush, retired neurosurgeon Ben Carson, New Jersey Gov. Chris Christie, Mr. Cruz, Mrs. Fiorina, Ohio Gov. John Kasich, Sen. Rand Paul, Sen. Marco Rubio, and businessman Donald Trump.

Under state law, the deadline for a presidential primary candidate to withdraw was at noon Feb. 8. Mrs. Fiorina announced Feb. 10 that she was suspending her presidential campaign.

Mr. Paul, Mr. Christie, Mr. Bush, Mr. Carson and Mr. Rubio have also suspended their campaigns.

After Mr. Cruz announced Mrs. Fiorina as his running mate Wednesday, the Cruz campaign started pushing “Cruz-Carly” and “Cruz-Fiorina” merchandise, and the Indiana primary will be crucial to Mr. Cruz’s quest to halt Mr. Trump’s march to the nomination.

The Cruz campaign and the Trusted Leadership PAC, an outside group supporting Mr. Cruz’s candidacy, released ads Thursday featuring Mrs. Fiorina.

“Ted Cruz is a conservative — a fearless defender of the Constitution who’s taken on Washington and won,” Mrs. Fiorina says in the Cruz campaign ad. “He’s tested, trusted and ready to lead, and I am honored to join Ted Cruz as his running mate.”

The disclaimer on the ad from the Cruz campaign said it was “paid for by Cruz for president and Carly for vice president” and the two jointly approved the message.

Mr. Kasich’s campaign announced this week that it would get out of the way of Mr. Cruz in Indiana, and the Cruz campaign said it would clear the path for Mr. Kasich to compete in Oregon and New Mexico.

But Mr. Cruz and Mr. Kasich have since said they won’t tell their supporters whom to vote for, and Mr. Cruz said Thursday that the two candidates have no “alliance.”

Speaking about the agreement this week on “The Glenn Beck Program,” Mr. Cruz said, “I trust the voters to figure out who to vote for. So I’m not asking my supporters to vote for anybody else.”

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