Seven people leave their bags outside al temple and returning after worshiping picked one bag each at random. In how many ways at least one and at most three of them get their correct bags?

Seven People leave their bags outside a temple and returning after worshipping picked one bag each at random.In how many ways atleast one and atmost three of them get their correct bags?

There are three different rings to be worn in four fingers with at most one in each finger. In how many ways can this be done?

Seven different objects must be divided among three people. In how many ways can this be done if at least one of them gets exactly 1 object?

A bag contains 12 pairs of socks. Four socks are picked up at random. Find the probability that there is at least one pair.

A bag contains twelve pairs of socks and four socks are picked up at random.The probability that there is at least one pair is equal to -

A bag contains 5 mangoes and 6 oranges. In how many ways can one make a selection ,so as to take atleast one mango and one orange, is

A bag contains 5 mangoes and 6 oranges. In how many ways can one make a selection, so as to take atleast one mango and one orange, is

The cards bearing letters of the word "MATHEMATICS" are placed in a bag. A card is taken out from the bag without looking into the bag (at random). (a) How many outcomes are possible when a letter is taken out of the bag at random? (b) What is the probability of getting (i) M? (ii) Any vowel? (iii) Any consonant? (iv) X?