"Emotions can't be brought into a game. It won't help players' performance. Emotions would obviously be there, but they have to be kept in check...These emotions have to be kept in check. Every player understands that," Kumble told the team's official website.
"He (Tendulkar) has been synonymous with Mumbai Indians right from the start of IPL. I have played a lot of cricket with him. It would be ideal for the boys to give him a fitting send-off. He has been a great contributor for Mumbai Indians all those years.
Kumble lauded Rohit Sharma's captaincy after he led the side to its maiden IPL trophy this year.
"I think Rohit was the highlight of the IPL. He is a quiet yet confident player. He is not a kind of guy who would say a lot of things. He was given the responsibility of leading the side, and he took that extremely well.
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"He is a committed player, and he understands the T20 game. He opened for India in the Champions Trophy, and did well. He was always an exceptionally talented player. With experience and maturity, he understands his game better now."
"For a player of Ricky's stature, it's tough on him. But with the Champions League rules, we can only travel with a squad of 15 players, and only four foreigners can play in a game," he explained.
"With the kind of balance we had struck in the second half of the IPL when Ricky sat out, it was tough to find a place for him in the squad. So we informed him about his exclusion, he obviously was disappointed, I am sure. But, that's the nature of the game," he said.