MEDIUM
CAT
IMPORTANT
Earn 100

There are seven pairs of black shoes and five pairs of white shoes. They are all put in a box and shoes are drawn one at a time. What is the minimum number of shoes required to be drawn out to get at least one correct pair(Black or White shoes) of shoes?

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

EASY
CAT
IMPORTANT
In how many ways, one white and one black rook can be placed on a chessboard so that they are never in an attacking position?
EASY
CAT
IMPORTANT
How many 6-digit numbers have all their digits either all odd or all even?
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IMPORTANT
On a triangle ABC, on the side AB, 5 points are marked, 6 points are marked on the side BC and 3 points are marked on the side AC (none of the points being the vertex of the triangle). How many triangles can be made by using these points?
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CAT
IMPORTANT
In the Sunita Building in Mumbai, there are 12 floors plus the ground floor. 9 people get into the lift of the building on the ground floor. The lift does not stop on the first floor. If 2, 3 and 4 people alight from the lift on its upward journey, then in how many ways can they do so? (Assume they alight on different floors.)
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CAT
IMPORTANT
There are 40 doctors in the surgical department of the AIIMS. In how many ways can they be arranged to form a team with 1 surgeon and 4 assistant.
EASY
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IMPORTANT

How many five-digit numbers, which do not contain identical digits, can be written by means of the digits 1, 2, 3, 4, 5, 6, 7, 8, 9?

EASY
CAT
IMPORTANT
How many different four-digit numbers can be written using 1, 2, 3, 4, 5, 6, 7, 8 only once such that the number  2 is contained once?